3.63/2.61 WORST_CASE(?, O(n^1)) 3.63/2.62 proof of /export/starexec/sandbox/output/output_files/bench.koat 3.63/2.62 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 3.63/2.62 3.63/2.62 3.63/2.62 The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, n^1). 3.63/2.62 3.63/2.62 (0) CpxIntTrs 3.63/2.62 (1) Koat Proof [FINISHED, 1286 ms] 3.63/2.62 (2) BOUNDS(1, n^1) 3.63/2.62 3.63/2.62 3.63/2.62 ---------------------------------------- 3.63/2.62 3.63/2.62 (0) 3.63/2.62 Obligation: 3.63/2.62 Complexity Int TRS consisting of the following rules: 3.63/2.62 eval_foo_start(v_.0, v_.01, v_.1, v_1, v_4, v_x, v_y) -> Com_1(eval_foo_bb0_in(v_.0, v_.01, v_.1, v_1, v_4, v_x, v_y)) :|: TRUE 3.63/2.62 eval_foo_bb0_in(v_.0, v_.01, v_.1, v_1, v_4, v_x, v_y) -> Com_1(eval_foo_bb1_in(v_x, v_y, v_.1, v_1, v_4, v_x, v_y)) :|: TRUE 3.63/2.62 eval_foo_bb1_in(v_.0, v_.01, v_.1, v_1, v_4, v_x, v_y) -> Com_1(eval_foo_bb2_in(v_.0, v_.01, v_.1, v_1, v_4, v_x, v_y)) :|: v_.0 >= 2 3.63/2.62 eval_foo_bb1_in(v_.0, v_.01, v_.1, v_1, v_4, v_x, v_y) -> Com_1(eval_foo_bb6_in(v_.0, v_.01, v_.1, v_1, v_4, v_x, v_y)) :|: v_.0 < 2 3.63/2.62 eval_foo_bb2_in(v_.0, v_.01, v_.1, v_1, v_4, v_x, v_y) -> Com_1(eval_foo_bb3_in(v_.0, v_.01, v_.01 + v_.0 - 1, v_.0 - 1, v_4, v_x, v_y)) :|: TRUE 3.63/2.62 eval_foo_bb3_in(v_.0, v_.01, v_.1, v_1, v_4, v_x, v_y) -> Com_1(eval_foo_bb4_in(v_.0, v_.01, v_.1, v_1, v_4, v_x, v_y)) :|: v_.1 >= v_1 3.63/2.62 eval_foo_bb3_in(v_.0, v_.01, v_.1, v_1, v_4, v_x, v_y) -> Com_1(eval_foo_.critedge_in(v_.0, v_.01, v_.1, v_1, v_4, v_x, v_y)) :|: v_.1 < v_1 3.63/2.62 eval_foo_bb4_in(v_.0, v_.01, v_.1, v_1, v_4, v_x, v_y) -> Com_1(eval_foo_3(v_.0, v_.01, v_.1, v_1, v_4, v_x, v_y)) :|: TRUE 3.63/2.62 eval_foo_3(v_.0, v_.01, v_.1, v_1, v_4, v_x, v_y) -> Com_2(eval___VERIFIER_nondet_int_start(v_.0, v_.01, v_.1, v_1, v_4, v_x, v_y), eval_foo_4(v_.0, v_.01, v_.1, v_1, nondef.0, v_x, v_y)) :|: TRUE 3.63/2.62 eval_foo_4(v_.0, v_.01, v_.1, v_1, v_4, v_x, v_y) -> Com_1(eval_foo_bb5_in(v_.0, v_.01, v_.1, v_1, v_4, v_x, v_y)) :|: v_4 < 0 3.63/2.62 eval_foo_4(v_.0, v_.01, v_.1, v_1, v_4, v_x, v_y) -> Com_1(eval_foo_bb5_in(v_.0, v_.01, v_.1, v_1, v_4, v_x, v_y)) :|: v_4 > 0 3.63/2.62 eval_foo_4(v_.0, v_.01, v_.1, v_1, v_4, v_x, v_y) -> Com_1(eval_foo_.critedge_in(v_.0, v_.01, v_.1, v_1, v_4, v_x, v_y)) :|: v_4 >= 0 && v_4 <= 0 3.63/2.62 eval_foo_bb5_in(v_.0, v_.01, v_.1, v_1, v_4, v_x, v_y) -> Com_1(eval_foo_bb3_in(v_.0, v_.01, v_.1 - 1, v_1, v_4, v_x, v_y)) :|: TRUE 3.63/2.62 eval_foo_.critedge_in(v_.0, v_.01, v_.1, v_1, v_4, v_x, v_y) -> Com_1(eval_foo_bb1_in(v_1 - 1, v_.1 - v_1 + 1, v_.1, v_1, v_4, v_x, v_y)) :|: TRUE 3.63/2.62 eval_foo_bb6_in(v_.0, v_.01, v_.1, v_1, v_4, v_x, v_y) -> Com_1(eval_foo_stop(v_.0, v_.01, v_.1, v_1, v_4, v_x, v_y)) :|: TRUE 3.63/2.62 3.63/2.62 The start-symbols are:[eval_foo_start_7] 3.63/2.62 3.63/2.62 3.63/2.62 ---------------------------------------- 3.63/2.62 3.63/2.62 (1) Koat Proof (FINISHED) 3.63/2.62 YES(?, 111*ar_1 + 128*ar_3 + 6) 3.63/2.62 3.63/2.62 3.63/2.62 3.63/2.62 Initial complexity problem: 3.63/2.62 3.63/2.62 1: T: 3.63/2.62 3.63/2.62 (Comp: ?, Cost: 1) evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) 3.63/2.62 3.63/2.62 (Comp: ?, Cost: 1) evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5, ar_6, ar_7)) 3.63/2.62 3.63/2.62 (Comp: ?, Cost: 1) evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_0 >= 2 ] 3.63/2.62 3.63/2.62 (Comp: ?, Cost: 1) evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ 1 >= ar_0 ] 3.63/2.62 3.63/2.62 (Comp: ?, Cost: 1) evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_2 + ar_0 - 1, ar_0 - 1, ar_6, ar_7)) 3.63/2.62 3.63/2.62 (Comp: ?, Cost: 1) evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_4 >= ar_5 ] 3.63/2.62 3.63/2.62 (Comp: ?, Cost: 1) evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoocritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_5 >= ar_4 + 1 ] 3.63/2.62 3.63/2.62 (Comp: ?, Cost: 1) evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoo3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) 3.63/2.62 3.63/2.62 (Comp: ?, Cost: 1) evalfoo30(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalVERIFIERnondetintstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) 3.63/2.62 3.63/2.62 (Comp: ?, Cost: 1) evalfoo31(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_7, ar_7)) 3.63/2.62 3.63/2.62 (Comp: ?, Cost: 1) evalfoo3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_2(evalfoo30(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, i), evalfoo31(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, i)) 3.63/2.62 3.63/2.62 (Comp: ?, Cost: 1) evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ 0 >= ar_6 + 1 ] 3.63/2.62 3.63/2.62 (Comp: ?, Cost: 1) evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_6 >= 1 ] 3.63/2.62 3.63/2.62 (Comp: ?, Cost: 1) evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoocritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_6 = 0 ] 3.63/2.62 3.63/2.62 (Comp: ?, Cost: 1) evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4 - 1, ar_5, ar_6, ar_7)) 3.63/2.62 3.63/2.62 (Comp: ?, Cost: 1) evalfoocritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb1in(ar_5 - 1, ar_1, ar_4 - ar_5 + 1, ar_3, ar_4, ar_5, ar_6, ar_7)) 3.63/2.62 3.63/2.62 (Comp: ?, Cost: 1) evalfoobb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) 3.63/2.62 3.63/2.62 (Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ 0 <= 0 ] 3.63/2.62 3.63/2.62 start location: koat_start 3.63/2.62 3.63/2.62 leaf cost: 0 3.63/2.62 3.63/2.62 3.63/2.62 3.63/2.62 Repeatedly propagating knowledge in problem 1 produces the following problem: 3.63/2.62 3.63/2.62 2: T: 3.63/2.62 3.63/2.62 (Comp: 1, Cost: 1) evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) 3.63/2.62 3.63/2.62 (Comp: 1, Cost: 1) evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5, ar_6, ar_7)) 3.63/2.62 3.63/2.62 (Comp: ?, Cost: 1) evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_0 >= 2 ] 3.63/2.62 3.63/2.62 (Comp: ?, Cost: 1) evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ 1 >= ar_0 ] 3.63/2.62 3.63/2.62 (Comp: ?, Cost: 1) evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_2 + ar_0 - 1, ar_0 - 1, ar_6, ar_7)) 3.63/2.62 3.63/2.62 (Comp: ?, Cost: 1) evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_4 >= ar_5 ] 3.63/2.62 3.63/2.62 (Comp: ?, Cost: 1) evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoocritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_5 >= ar_4 + 1 ] 3.63/2.62 3.63/2.62 (Comp: ?, Cost: 1) evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoo3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) 3.63/2.62 3.63/2.62 (Comp: ?, Cost: 1) evalfoo30(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalVERIFIERnondetintstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) 3.63/2.62 3.63/2.62 (Comp: ?, Cost: 1) evalfoo31(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_7, ar_7)) 3.63/2.62 3.63/2.62 (Comp: ?, Cost: 1) evalfoo3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_2(evalfoo30(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, i), evalfoo31(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, i)) 3.63/2.62 3.63/2.62 (Comp: ?, Cost: 1) evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ 0 >= ar_6 + 1 ] 3.63/2.62 3.63/2.62 (Comp: ?, Cost: 1) evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_6 >= 1 ] 3.63/2.62 3.63/2.62 (Comp: ?, Cost: 1) evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoocritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_6 = 0 ] 3.63/2.62 3.63/2.62 (Comp: ?, Cost: 1) evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4 - 1, ar_5, ar_6, ar_7)) 3.63/2.62 3.63/2.62 (Comp: ?, Cost: 1) evalfoocritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb1in(ar_5 - 1, ar_1, ar_4 - ar_5 + 1, ar_3, ar_4, ar_5, ar_6, ar_7)) 3.63/2.62 3.63/2.62 (Comp: ?, Cost: 1) evalfoobb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) 3.63/2.62 3.63/2.62 (Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ 0 <= 0 ] 3.63/2.62 3.63/2.62 start location: koat_start 3.63/2.62 3.63/2.62 leaf cost: 0 3.63/2.62 3.63/2.62 3.63/2.62 3.63/2.62 A polynomial rank function with 3.63/2.62 3.63/2.62 Pol(evalfoostart) = 2 3.63/2.62 3.63/2.62 Pol(evalfoobb0in) = 2 3.63/2.62 3.63/2.62 Pol(evalfoobb1in) = 2 3.63/2.62 3.63/2.62 Pol(evalfoobb2in) = 2 3.63/2.62 3.63/2.62 Pol(evalfoobb6in) = 1 3.63/2.62 3.63/2.62 Pol(evalfoobb3in) = 2 3.63/2.62 3.63/2.62 Pol(evalfoobb4in) = 2 3.63/2.62 3.63/2.62 Pol(evalfoocritedgein) = 2 3.63/2.62 3.63/2.62 Pol(evalfoo3) = 2 3.63/2.62 3.63/2.62 Pol(evalfoo30) = 0 3.63/2.62 3.63/2.62 Pol(evalVERIFIERnondetintstart) = 0 3.63/2.62 3.63/2.62 Pol(evalfoo31) = 2 3.63/2.62 3.63/2.62 Pol(evalfoo4) = 2 3.63/2.62 3.63/2.62 Pol(evalfoobb5in) = 2 3.63/2.62 3.63/2.62 Pol(evalfoostop) = 0 3.63/2.62 3.63/2.62 Pol(koat_start) = 2 3.63/2.62 3.63/2.62 orients all transitions weakly and the transitions 3.63/2.62 3.63/2.62 evalfoobb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) 3.63/2.62 3.63/2.62 evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ 1 >= ar_0 ] 3.63/2.62 3.63/2.62 strictly and produces the following problem: 3.63/2.62 3.63/2.62 3: T: 3.63/2.62 3.63/2.62 (Comp: 1, Cost: 1) evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) 3.63/2.62 3.63/2.62 (Comp: 1, Cost: 1) evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5, ar_6, ar_7)) 3.63/2.62 3.63/2.62 (Comp: ?, Cost: 1) evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_0 >= 2 ] 3.63/2.62 3.63/2.62 (Comp: 2, Cost: 1) evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ 1 >= ar_0 ] 3.63/2.62 3.63/2.62 (Comp: ?, Cost: 1) evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_2 + ar_0 - 1, ar_0 - 1, ar_6, ar_7)) 3.63/2.62 3.63/2.62 (Comp: ?, Cost: 1) evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_4 >= ar_5 ] 3.63/2.62 3.63/2.62 (Comp: ?, Cost: 1) evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoocritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_5 >= ar_4 + 1 ] 3.63/2.62 3.63/2.62 (Comp: ?, Cost: 1) evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoo3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) 3.63/2.62 3.63/2.62 (Comp: ?, Cost: 1) evalfoo30(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalVERIFIERnondetintstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) 3.63/2.62 3.63/2.62 (Comp: ?, Cost: 1) evalfoo31(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_7, ar_7)) 3.63/2.62 3.63/2.62 (Comp: ?, Cost: 1) evalfoo3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_2(evalfoo30(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, i), evalfoo31(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, i)) 3.63/2.62 3.63/2.62 (Comp: ?, Cost: 1) evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ 0 >= ar_6 + 1 ] 3.63/2.62 3.63/2.62 (Comp: ?, Cost: 1) evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_6 >= 1 ] 3.63/2.62 3.63/2.62 (Comp: ?, Cost: 1) evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoocritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_6 = 0 ] 3.63/2.62 3.63/2.62 (Comp: ?, Cost: 1) evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4 - 1, ar_5, ar_6, ar_7)) 3.63/2.62 3.63/2.62 (Comp: ?, Cost: 1) evalfoocritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb1in(ar_5 - 1, ar_1, ar_4 - ar_5 + 1, ar_3, ar_4, ar_5, ar_6, ar_7)) 3.63/2.62 3.63/2.62 (Comp: 2, Cost: 1) evalfoobb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) 3.63/2.62 3.63/2.62 (Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ 0 <= 0 ] 3.63/2.62 3.63/2.62 start location: koat_start 3.63/2.62 3.63/2.62 leaf cost: 0 3.63/2.62 3.63/2.62 3.63/2.62 3.63/2.62 Applied AI with 'oct' on problem 3 to obtain the following invariants: 3.63/2.62 3.63/2.62 For symbol evalfoo3: X_5 - X_6 >= 0 /\ X_2 - X_6 - 1 >= 0 /\ X_1 - X_6 - 1 >= 0 /\ X_6 - 1 >= 0 /\ X_5 + X_6 - 2 >= 0 /\ X_2 + X_6 - 3 >= 0 /\ X_1 + X_6 - 3 >= 0 /\ -X_1 + X_6 + 1 >= 0 /\ X_5 - 1 >= 0 /\ X_2 + X_5 - 3 >= 0 /\ X_1 + X_5 - 3 >= 0 /\ -X_1 + X_5 + 1 >= 0 /\ X_2 - 2 >= 0 /\ X_1 + X_2 - 4 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 - 2 >= 0 3.63/2.62 3.63/2.62 For symbol evalfoo30: X_5 - X_6 >= 0 /\ X_2 - X_6 - 1 >= 0 /\ X_1 - X_6 - 1 >= 0 /\ X_6 - 1 >= 0 /\ X_5 + X_6 - 2 >= 0 /\ X_2 + X_6 - 3 >= 0 /\ X_1 + X_6 - 3 >= 0 /\ -X_1 + X_6 + 1 >= 0 /\ X_5 - 1 >= 0 /\ X_2 + X_5 - 3 >= 0 /\ X_1 + X_5 - 3 >= 0 /\ -X_1 + X_5 + 1 >= 0 /\ X_2 - 2 >= 0 /\ X_1 + X_2 - 4 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 - 2 >= 0 3.63/2.62 3.63/2.62 For symbol evalfoo31: X_5 - X_6 >= 0 /\ X_2 - X_6 - 1 >= 0 /\ X_1 - X_6 - 1 >= 0 /\ X_6 - 1 >= 0 /\ X_5 + X_6 - 2 >= 0 /\ X_2 + X_6 - 3 >= 0 /\ X_1 + X_6 - 3 >= 0 /\ -X_1 + X_6 + 1 >= 0 /\ X_5 - 1 >= 0 /\ X_2 + X_5 - 3 >= 0 /\ X_1 + X_5 - 3 >= 0 /\ -X_1 + X_5 + 1 >= 0 /\ X_2 - 2 >= 0 /\ X_1 + X_2 - 4 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 - 2 >= 0 3.63/2.62 3.63/2.62 For symbol evalfoo4: X_7 - X_8 >= 0 /\ -X_7 + X_8 >= 0 /\ X_5 - X_6 >= 0 /\ X_2 - X_6 - 1 >= 0 /\ X_1 - X_6 - 1 >= 0 /\ X_6 - 1 >= 0 /\ X_5 + X_6 - 2 >= 0 /\ X_2 + X_6 - 3 >= 0 /\ X_1 + X_6 - 3 >= 0 /\ -X_1 + X_6 + 1 >= 0 /\ X_5 - 1 >= 0 /\ X_2 + X_5 - 3 >= 0 /\ X_1 + X_5 - 3 >= 0 /\ -X_1 + X_5 + 1 >= 0 /\ X_2 - 2 >= 0 /\ X_1 + X_2 - 4 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 - 2 >= 0 3.63/2.62 3.63/2.62 For symbol evalfoobb1in: -X_1 + X_2 >= 0 3.63/2.62 3.63/2.62 For symbol evalfoobb2in: X_2 - 2 >= 0 /\ X_1 + X_2 - 4 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 - 2 >= 0 3.63/2.62 3.63/2.62 For symbol evalfoobb3in: X_2 - X_6 - 1 >= 0 /\ X_1 - X_6 - 1 >= 0 /\ X_6 - 1 >= 0 /\ X_2 + X_6 - 3 >= 0 /\ X_1 + X_6 - 3 >= 0 /\ -X_1 + X_6 + 1 >= 0 /\ X_2 - 2 >= 0 /\ X_1 + X_2 - 4 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 - 2 >= 0 3.63/2.62 3.63/2.62 For symbol evalfoobb4in: X_5 - X_6 >= 0 /\ X_2 - X_6 - 1 >= 0 /\ X_1 - X_6 - 1 >= 0 /\ X_6 - 1 >= 0 /\ X_5 + X_6 - 2 >= 0 /\ X_2 + X_6 - 3 >= 0 /\ X_1 + X_6 - 3 >= 0 /\ -X_1 + X_6 + 1 >= 0 /\ X_5 - 1 >= 0 /\ X_2 + X_5 - 3 >= 0 /\ X_1 + X_5 - 3 >= 0 /\ -X_1 + X_5 + 1 >= 0 /\ X_2 - 2 >= 0 /\ X_1 + X_2 - 4 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 - 2 >= 0 3.63/2.62 3.63/2.62 For symbol evalfoobb5in: X_7 - X_8 >= 0 /\ -X_7 + X_8 >= 0 /\ X_5 - X_6 >= 0 /\ X_2 - X_6 - 1 >= 0 /\ X_1 - X_6 - 1 >= 0 /\ X_6 - 1 >= 0 /\ X_5 + X_6 - 2 >= 0 /\ X_2 + X_6 - 3 >= 0 /\ X_1 + X_6 - 3 >= 0 /\ -X_1 + X_6 + 1 >= 0 /\ X_5 - 1 >= 0 /\ X_2 + X_5 - 3 >= 0 /\ X_1 + X_5 - 3 >= 0 /\ -X_1 + X_5 + 1 >= 0 /\ X_2 - 2 >= 0 /\ X_1 + X_2 - 4 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 - 2 >= 0 3.63/2.62 3.63/2.62 For symbol evalfoobb6in: -X_1 + X_2 >= 0 /\ -X_1 + 1 >= 0 3.63/2.62 3.63/2.62 For symbol evalfoocritedgein: X_2 - X_6 - 1 >= 0 /\ X_1 - X_6 - 1 >= 0 /\ X_6 - 1 >= 0 /\ X_2 + X_6 - 3 >= 0 /\ X_1 + X_6 - 3 >= 0 /\ -X_1 + X_6 + 1 >= 0 /\ X_2 - 2 >= 0 /\ X_1 + X_2 - 4 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 - 2 >= 0 3.63/2.62 3.63/2.62 3.63/2.62 3.63/2.62 3.63/2.62 3.63/2.62 This yielded the following problem: 3.63/2.62 3.63/2.62 4: T: 3.63/2.62 3.63/2.62 (Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ 0 <= 0 ] 3.63/2.62 3.63/2.62 (Comp: 2, Cost: 1) evalfoobb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ -ar_0 + ar_1 >= 0 /\ -ar_0 + 1 >= 0 ] 3.63/2.62 3.63/2.62 (Comp: ?, Cost: 1) evalfoocritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb1in(ar_5 - 1, ar_1, ar_4 - ar_5 + 1, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_1 - ar_5 - 1 >= 0 /\ ar_0 - ar_5 - 1 >= 0 /\ ar_5 - 1 >= 0 /\ ar_1 + ar_5 - 3 >= 0 /\ ar_0 + ar_5 - 3 >= 0 /\ -ar_0 + ar_5 + 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 2 >= 0 ] 3.63/2.62 3.63/2.62 (Comp: ?, Cost: 1) evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4 - 1, ar_5, ar_6, ar_7)) [ ar_6 - ar_7 >= 0 /\ -ar_6 + ar_7 >= 0 /\ ar_4 - ar_5 >= 0 /\ ar_1 - ar_5 - 1 >= 0 /\ ar_0 - ar_5 - 1 >= 0 /\ ar_5 - 1 >= 0 /\ ar_4 + ar_5 - 2 >= 0 /\ ar_1 + ar_5 - 3 >= 0 /\ ar_0 + ar_5 - 3 >= 0 /\ -ar_0 + ar_5 + 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_1 + ar_4 - 3 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ -ar_0 + ar_4 + 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 2 >= 0 ] 3.63/2.62 3.63/2.62 (Comp: ?, Cost: 1) evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoocritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_6 - ar_7 >= 0 /\ -ar_6 + ar_7 >= 0 /\ ar_4 - ar_5 >= 0 /\ ar_1 - ar_5 - 1 >= 0 /\ ar_0 - ar_5 - 1 >= 0 /\ ar_5 - 1 >= 0 /\ ar_4 + ar_5 - 2 >= 0 /\ ar_1 + ar_5 - 3 >= 0 /\ ar_0 + ar_5 - 3 >= 0 /\ -ar_0 + ar_5 + 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_1 + ar_4 - 3 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ -ar_0 + ar_4 + 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 2 >= 0 /\ ar_6 = 0 ] 3.63/2.62 3.63/2.62 (Comp: ?, Cost: 1) evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_6 - ar_7 >= 0 /\ -ar_6 + ar_7 >= 0 /\ ar_4 - ar_5 >= 0 /\ ar_1 - ar_5 - 1 >= 0 /\ ar_0 - ar_5 - 1 >= 0 /\ ar_5 - 1 >= 0 /\ ar_4 + ar_5 - 2 >= 0 /\ ar_1 + ar_5 - 3 >= 0 /\ ar_0 + ar_5 - 3 >= 0 /\ -ar_0 + ar_5 + 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_1 + ar_4 - 3 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ -ar_0 + ar_4 + 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 2 >= 0 /\ ar_6 >= 1 ] 3.63/2.62 3.63/2.62 (Comp: ?, Cost: 1) evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_6 - ar_7 >= 0 /\ -ar_6 + ar_7 >= 0 /\ ar_4 - ar_5 >= 0 /\ ar_1 - ar_5 - 1 >= 0 /\ ar_0 - ar_5 - 1 >= 0 /\ ar_5 - 1 >= 0 /\ ar_4 + ar_5 - 2 >= 0 /\ ar_1 + ar_5 - 3 >= 0 /\ ar_0 + ar_5 - 3 >= 0 /\ -ar_0 + ar_5 + 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_1 + ar_4 - 3 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ -ar_0 + ar_4 + 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 2 >= 0 /\ 0 >= ar_6 + 1 ] 3.63/2.62 3.63/2.62 (Comp: ?, Cost: 1) evalfoo3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_2(evalfoo30(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, i), evalfoo31(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, i)) [ ar_4 - ar_5 >= 0 /\ ar_1 - ar_5 - 1 >= 0 /\ ar_0 - ar_5 - 1 >= 0 /\ ar_5 - 1 >= 0 /\ ar_4 + ar_5 - 2 >= 0 /\ ar_1 + ar_5 - 3 >= 0 /\ ar_0 + ar_5 - 3 >= 0 /\ -ar_0 + ar_5 + 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_1 + ar_4 - 3 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ -ar_0 + ar_4 + 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 2 >= 0 ] 3.63/2.62 3.63/2.62 (Comp: ?, Cost: 1) evalfoo31(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_7, ar_7)) [ ar_4 - ar_5 >= 0 /\ ar_1 - ar_5 - 1 >= 0 /\ ar_0 - ar_5 - 1 >= 0 /\ ar_5 - 1 >= 0 /\ ar_4 + ar_5 - 2 >= 0 /\ ar_1 + ar_5 - 3 >= 0 /\ ar_0 + ar_5 - 3 >= 0 /\ -ar_0 + ar_5 + 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_1 + ar_4 - 3 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ -ar_0 + ar_4 + 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 2 >= 0 ] 3.63/2.62 3.63/2.62 (Comp: ?, Cost: 1) evalfoo30(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalVERIFIERnondetintstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_4 - ar_5 >= 0 /\ ar_1 - ar_5 - 1 >= 0 /\ ar_0 - ar_5 - 1 >= 0 /\ ar_5 - 1 >= 0 /\ ar_4 + ar_5 - 2 >= 0 /\ ar_1 + ar_5 - 3 >= 0 /\ ar_0 + ar_5 - 3 >= 0 /\ -ar_0 + ar_5 + 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_1 + ar_4 - 3 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ -ar_0 + ar_4 + 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 2 >= 0 ] 3.63/2.62 3.63/2.62 (Comp: ?, Cost: 1) evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoo3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_4 - ar_5 >= 0 /\ ar_1 - ar_5 - 1 >= 0 /\ ar_0 - ar_5 - 1 >= 0 /\ ar_5 - 1 >= 0 /\ ar_4 + ar_5 - 2 >= 0 /\ ar_1 + ar_5 - 3 >= 0 /\ ar_0 + ar_5 - 3 >= 0 /\ -ar_0 + ar_5 + 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_1 + ar_4 - 3 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ -ar_0 + ar_4 + 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 2 >= 0 ] 3.63/2.62 3.63/2.62 (Comp: ?, Cost: 1) evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoocritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_1 - ar_5 - 1 >= 0 /\ ar_0 - ar_5 - 1 >= 0 /\ ar_5 - 1 >= 0 /\ ar_1 + ar_5 - 3 >= 0 /\ ar_0 + ar_5 - 3 >= 0 /\ -ar_0 + ar_5 + 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 2 >= 0 /\ ar_5 >= ar_4 + 1 ] 3.63/2.62 3.63/2.62 (Comp: ?, Cost: 1) evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_1 - ar_5 - 1 >= 0 /\ ar_0 - ar_5 - 1 >= 0 /\ ar_5 - 1 >= 0 /\ ar_1 + ar_5 - 3 >= 0 /\ ar_0 + ar_5 - 3 >= 0 /\ -ar_0 + ar_5 + 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 2 >= 0 /\ ar_4 >= ar_5 ] 3.63/2.62 3.63/2.62 (Comp: ?, Cost: 1) evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_2 + ar_0 - 1, ar_0 - 1, ar_6, ar_7)) [ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 2 >= 0 ] 3.63/2.62 3.63/2.62 (Comp: 2, Cost: 1) evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ -ar_0 + ar_1 >= 0 /\ 1 >= ar_0 ] 3.63/2.62 3.63/2.62 (Comp: ?, Cost: 1) evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ -ar_0 + ar_1 >= 0 /\ ar_0 >= 2 ] 3.63/2.62 3.63/2.62 (Comp: 1, Cost: 1) evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5, ar_6, ar_7)) 3.63/2.62 3.63/2.62 (Comp: 1, Cost: 1) evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) 3.63/2.62 3.63/2.62 start location: koat_start 3.63/2.62 3.63/2.62 leaf cost: 0 3.63/2.62 3.63/2.62 3.63/2.62 3.63/2.62 A polynomial rank function with 3.63/2.62 3.63/2.62 Pol(koat_start) = 3*V_2 3.63/2.62 3.63/2.62 Pol(evalfoostart) = 3*V_2 3.63/2.62 3.63/2.62 Pol(evalfoobb6in) = 3*V_1 3.63/2.62 3.63/2.62 Pol(evalfoostop) = 3*V_1 3.63/2.62 3.63/2.62 Pol(evalfoocritedgein) = 3*V_6 - 1 3.63/2.62 3.63/2.62 Pol(evalfoobb1in) = 3*V_1 3.63/2.62 3.63/2.62 Pol(evalfoobb5in) = 3*V_6 + 1 3.63/2.62 3.63/2.62 Pol(evalfoobb3in) = V_1 + 2*V_6 3.63/2.62 3.63/2.62 Pol(evalfoo4) = 3*V_6 + 1 3.63/2.62 3.63/2.62 Pol(evalfoo3) = 3*V_6 + 1 3.63/2.62 3.63/2.62 Pol(evalfoo30) = -2*V_5 + 2*V_6 3.63/2.62 3.63/2.62 Pol(evalfoo31) = 3*V_6 + 1 3.63/2.62 3.63/2.62 Pol(evalVERIFIERnondetintstart) = -2*V_5 + 2*V_6 3.63/2.62 3.63/2.62 Pol(evalfoobb4in) = V_1 + 2*V_6 3.63/2.62 3.63/2.62 Pol(evalfoobb2in) = 3*V_1 - 1 3.63/2.62 3.63/2.62 Pol(evalfoobb0in) = 3*V_2 3.63/2.62 3.63/2.62 orients all transitions weakly and the transitions 3.63/2.62 3.63/2.62 evalfoocritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb1in(ar_5 - 1, ar_1, ar_4 - ar_5 + 1, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_1 - ar_5 - 1 >= 0 /\ ar_0 - ar_5 - 1 >= 0 /\ ar_5 - 1 >= 0 /\ ar_1 + ar_5 - 3 >= 0 /\ ar_0 + ar_5 - 3 >= 0 /\ -ar_0 + ar_5 + 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 2 >= 0 ] 3.63/2.62 3.63/2.62 evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoocritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_1 - ar_5 - 1 >= 0 /\ ar_0 - ar_5 - 1 >= 0 /\ ar_5 - 1 >= 0 /\ ar_1 + ar_5 - 3 >= 0 /\ ar_0 + ar_5 - 3 >= 0 /\ -ar_0 + ar_5 + 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 2 >= 0 /\ ar_5 >= ar_4 + 1 ] 3.63/2.62 3.63/2.62 evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_2 + ar_0 - 1, ar_0 - 1, ar_6, ar_7)) [ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 2 >= 0 ] 3.63/2.62 3.63/2.62 evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ -ar_0 + ar_1 >= 0 /\ ar_0 >= 2 ] 3.63/2.62 3.63/2.62 evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoocritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_6 - ar_7 >= 0 /\ -ar_6 + ar_7 >= 0 /\ ar_4 - ar_5 >= 0 /\ ar_1 - ar_5 - 1 >= 0 /\ ar_0 - ar_5 - 1 >= 0 /\ ar_5 - 1 >= 0 /\ ar_4 + ar_5 - 2 >= 0 /\ ar_1 + ar_5 - 3 >= 0 /\ ar_0 + ar_5 - 3 >= 0 /\ -ar_0 + ar_5 + 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_1 + ar_4 - 3 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ -ar_0 + ar_4 + 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 2 >= 0 /\ ar_6 = 0 ] 3.63/2.62 3.63/2.62 strictly and produces the following problem: 3.63/2.62 3.63/2.62 5: T: 3.63/2.62 3.63/2.62 (Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ 0 <= 0 ] 3.63/2.62 3.63/2.62 (Comp: 2, Cost: 1) evalfoobb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ -ar_0 + ar_1 >= 0 /\ -ar_0 + 1 >= 0 ] 3.63/2.62 3.63/2.62 (Comp: 3*ar_1, Cost: 1) evalfoocritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb1in(ar_5 - 1, ar_1, ar_4 - ar_5 + 1, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_1 - ar_5 - 1 >= 0 /\ ar_0 - ar_5 - 1 >= 0 /\ ar_5 - 1 >= 0 /\ ar_1 + ar_5 - 3 >= 0 /\ ar_0 + ar_5 - 3 >= 0 /\ -ar_0 + ar_5 + 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 2 >= 0 ] 3.63/2.63 3.63/2.63 (Comp: ?, Cost: 1) evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4 - 1, ar_5, ar_6, ar_7)) [ ar_6 - ar_7 >= 0 /\ -ar_6 + ar_7 >= 0 /\ ar_4 - ar_5 >= 0 /\ ar_1 - ar_5 - 1 >= 0 /\ ar_0 - ar_5 - 1 >= 0 /\ ar_5 - 1 >= 0 /\ ar_4 + ar_5 - 2 >= 0 /\ ar_1 + ar_5 - 3 >= 0 /\ ar_0 + ar_5 - 3 >= 0 /\ -ar_0 + ar_5 + 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_1 + ar_4 - 3 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ -ar_0 + ar_4 + 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 2 >= 0 ] 3.63/2.63 3.63/2.63 (Comp: 3*ar_1, Cost: 1) evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoocritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_6 - ar_7 >= 0 /\ -ar_6 + ar_7 >= 0 /\ ar_4 - ar_5 >= 0 /\ ar_1 - ar_5 - 1 >= 0 /\ ar_0 - ar_5 - 1 >= 0 /\ ar_5 - 1 >= 0 /\ ar_4 + ar_5 - 2 >= 0 /\ ar_1 + ar_5 - 3 >= 0 /\ ar_0 + ar_5 - 3 >= 0 /\ -ar_0 + ar_5 + 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_1 + ar_4 - 3 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ -ar_0 + ar_4 + 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 2 >= 0 /\ ar_6 = 0 ] 3.63/2.63 3.63/2.63 (Comp: ?, Cost: 1) evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_6 - ar_7 >= 0 /\ -ar_6 + ar_7 >= 0 /\ ar_4 - ar_5 >= 0 /\ ar_1 - ar_5 - 1 >= 0 /\ ar_0 - ar_5 - 1 >= 0 /\ ar_5 - 1 >= 0 /\ ar_4 + ar_5 - 2 >= 0 /\ ar_1 + ar_5 - 3 >= 0 /\ ar_0 + ar_5 - 3 >= 0 /\ -ar_0 + ar_5 + 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_1 + ar_4 - 3 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ -ar_0 + ar_4 + 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 2 >= 0 /\ ar_6 >= 1 ] 3.63/2.63 3.63/2.63 (Comp: ?, Cost: 1) evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_6 - ar_7 >= 0 /\ -ar_6 + ar_7 >= 0 /\ ar_4 - ar_5 >= 0 /\ ar_1 - ar_5 - 1 >= 0 /\ ar_0 - ar_5 - 1 >= 0 /\ ar_5 - 1 >= 0 /\ ar_4 + ar_5 - 2 >= 0 /\ ar_1 + ar_5 - 3 >= 0 /\ ar_0 + ar_5 - 3 >= 0 /\ -ar_0 + ar_5 + 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_1 + ar_4 - 3 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ -ar_0 + ar_4 + 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 2 >= 0 /\ 0 >= ar_6 + 1 ] 3.63/2.63 3.63/2.63 (Comp: ?, Cost: 1) evalfoo3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_2(evalfoo30(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, i), evalfoo31(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, i)) [ ar_4 - ar_5 >= 0 /\ ar_1 - ar_5 - 1 >= 0 /\ ar_0 - ar_5 - 1 >= 0 /\ ar_5 - 1 >= 0 /\ ar_4 + ar_5 - 2 >= 0 /\ ar_1 + ar_5 - 3 >= 0 /\ ar_0 + ar_5 - 3 >= 0 /\ -ar_0 + ar_5 + 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_1 + ar_4 - 3 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ -ar_0 + ar_4 + 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 2 >= 0 ] 3.63/2.63 3.63/2.63 (Comp: ?, Cost: 1) evalfoo31(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_7, ar_7)) [ ar_4 - ar_5 >= 0 /\ ar_1 - ar_5 - 1 >= 0 /\ ar_0 - ar_5 - 1 >= 0 /\ ar_5 - 1 >= 0 /\ ar_4 + ar_5 - 2 >= 0 /\ ar_1 + ar_5 - 3 >= 0 /\ ar_0 + ar_5 - 3 >= 0 /\ -ar_0 + ar_5 + 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_1 + ar_4 - 3 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ -ar_0 + ar_4 + 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 2 >= 0 ] 3.63/2.63 3.63/2.63 (Comp: ?, Cost: 1) evalfoo30(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalVERIFIERnondetintstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_4 - ar_5 >= 0 /\ ar_1 - ar_5 - 1 >= 0 /\ ar_0 - ar_5 - 1 >= 0 /\ ar_5 - 1 >= 0 /\ ar_4 + ar_5 - 2 >= 0 /\ ar_1 + ar_5 - 3 >= 0 /\ ar_0 + ar_5 - 3 >= 0 /\ -ar_0 + ar_5 + 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_1 + ar_4 - 3 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ -ar_0 + ar_4 + 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 2 >= 0 ] 3.63/2.63 3.63/2.63 (Comp: ?, Cost: 1) evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoo3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_4 - ar_5 >= 0 /\ ar_1 - ar_5 - 1 >= 0 /\ ar_0 - ar_5 - 1 >= 0 /\ ar_5 - 1 >= 0 /\ ar_4 + ar_5 - 2 >= 0 /\ ar_1 + ar_5 - 3 >= 0 /\ ar_0 + ar_5 - 3 >= 0 /\ -ar_0 + ar_5 + 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_1 + ar_4 - 3 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ -ar_0 + ar_4 + 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 2 >= 0 ] 3.63/2.63 3.63/2.63 (Comp: 3*ar_1, Cost: 1) evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoocritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_1 - ar_5 - 1 >= 0 /\ ar_0 - ar_5 - 1 >= 0 /\ ar_5 - 1 >= 0 /\ ar_1 + ar_5 - 3 >= 0 /\ ar_0 + ar_5 - 3 >= 0 /\ -ar_0 + ar_5 + 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 2 >= 0 /\ ar_5 >= ar_4 + 1 ] 3.63/2.63 3.63/2.63 (Comp: ?, Cost: 1) evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_1 - ar_5 - 1 >= 0 /\ ar_0 - ar_5 - 1 >= 0 /\ ar_5 - 1 >= 0 /\ ar_1 + ar_5 - 3 >= 0 /\ ar_0 + ar_5 - 3 >= 0 /\ -ar_0 + ar_5 + 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 2 >= 0 /\ ar_4 >= ar_5 ] 3.63/2.63 3.63/2.63 (Comp: 3*ar_1, Cost: 1) evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_2 + ar_0 - 1, ar_0 - 1, ar_6, ar_7)) [ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 2 >= 0 ] 3.63/2.63 3.63/2.63 (Comp: 2, Cost: 1) evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ -ar_0 + ar_1 >= 0 /\ 1 >= ar_0 ] 3.63/2.63 3.63/2.63 (Comp: 3*ar_1, Cost: 1) evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ -ar_0 + ar_1 >= 0 /\ ar_0 >= 2 ] 3.63/2.63 3.63/2.63 (Comp: 1, Cost: 1) evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5, ar_6, ar_7)) 3.63/2.63 3.63/2.63 (Comp: 1, Cost: 1) evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) 3.63/2.63 3.63/2.63 start location: koat_start 3.63/2.63 3.63/2.63 leaf cost: 0 3.63/2.63 3.63/2.63 3.63/2.63 3.63/2.63 A polynomial rank function with 3.63/2.63 3.63/2.63 Pol(koat_start) = 12*V_2 + 16*V_4 3.63/2.63 3.63/2.63 Pol(evalfoostart) = 12*V_2 + 16*V_4 - 11 3.63/2.63 3.63/2.63 Pol(evalfoobb6in) = 12*V_1 + 16*V_3 - 11 3.63/2.63 3.63/2.63 Pol(evalfoostop) = 12*V_1 + 16*V_3 - 11 3.63/2.63 3.63/2.63 Pol(evalfoocritedgein) = -4*V_1 + 16*V_5 - 3 3.63/2.63 3.63/2.63 Pol(evalfoobb1in) = 12*V_1 + 16*V_3 - 11 3.63/2.63 3.63/2.63 Pol(evalfoobb5in) = -4*V_1 + 16*V_5 - 7 3.63/2.63 3.63/2.63 Pol(evalfoobb3in) = -4*V_1 + 16*V_5 + 5 3.63/2.63 3.63/2.63 Pol(evalfoo4) = 16*V_5 - 4*V_6 - 7 3.63/2.63 3.63/2.63 Pol(evalfoo3) = -V_1 + 16*V_5 - 3*V_6 3.63/2.63 3.63/2.63 Pol(evalfoo30) = 3*V_1 - 3*V_6 - 1 3.63/2.63 3.63/2.63 Pol(evalfoo31) = 16*V_5 - 4*V_6 - 5 3.63/2.63 3.63/2.63 Pol(evalVERIFIERnondetintstart) = 3*V_1 - 3*V_6 - 2 3.63/2.63 3.63/2.63 Pol(evalfoobb4in) = -4*V_1 + 16*V_5 + 4 3.63/2.63 3.63/2.63 Pol(evalfoobb2in) = 12*V_1 + 16*V_3 - 11 3.63/2.63 3.63/2.63 Pol(evalfoobb0in) = 12*V_2 + 16*V_4 - 11 3.63/2.63 3.63/2.63 orients all transitions weakly and the transitions 3.63/2.63 3.63/2.63 evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4 - 1, ar_5, ar_6, ar_7)) [ ar_6 - ar_7 >= 0 /\ -ar_6 + ar_7 >= 0 /\ ar_4 - ar_5 >= 0 /\ ar_1 - ar_5 - 1 >= 0 /\ ar_0 - ar_5 - 1 >= 0 /\ ar_5 - 1 >= 0 /\ ar_4 + ar_5 - 2 >= 0 /\ ar_1 + ar_5 - 3 >= 0 /\ ar_0 + ar_5 - 3 >= 0 /\ -ar_0 + ar_5 + 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_1 + ar_4 - 3 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ -ar_0 + ar_4 + 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 2 >= 0 ] 3.63/2.63 3.63/2.63 evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoo3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_4 - ar_5 >= 0 /\ ar_1 - ar_5 - 1 >= 0 /\ ar_0 - ar_5 - 1 >= 0 /\ ar_5 - 1 >= 0 /\ ar_4 + ar_5 - 2 >= 0 /\ ar_1 + ar_5 - 3 >= 0 /\ ar_0 + ar_5 - 3 >= 0 /\ -ar_0 + ar_5 + 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_1 + ar_4 - 3 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ -ar_0 + ar_4 + 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 2 >= 0 ] 3.63/2.63 3.63/2.63 evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_1 - ar_5 - 1 >= 0 /\ ar_0 - ar_5 - 1 >= 0 /\ ar_5 - 1 >= 0 /\ ar_1 + ar_5 - 3 >= 0 /\ ar_0 + ar_5 - 3 >= 0 /\ -ar_0 + ar_5 + 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 2 >= 0 /\ ar_4 >= ar_5 ] 3.63/2.63 3.63/2.63 evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_6 - ar_7 >= 0 /\ -ar_6 + ar_7 >= 0 /\ ar_4 - ar_5 >= 0 /\ ar_1 - ar_5 - 1 >= 0 /\ ar_0 - ar_5 - 1 >= 0 /\ ar_5 - 1 >= 0 /\ ar_4 + ar_5 - 2 >= 0 /\ ar_1 + ar_5 - 3 >= 0 /\ ar_0 + ar_5 - 3 >= 0 /\ -ar_0 + ar_5 + 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_1 + ar_4 - 3 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ -ar_0 + ar_4 + 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 2 >= 0 /\ ar_6 >= 1 ] 3.63/2.63 3.63/2.63 evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_6 - ar_7 >= 0 /\ -ar_6 + ar_7 >= 0 /\ ar_4 - ar_5 >= 0 /\ ar_1 - ar_5 - 1 >= 0 /\ ar_0 - ar_5 - 1 >= 0 /\ ar_5 - 1 >= 0 /\ ar_4 + ar_5 - 2 >= 0 /\ ar_1 + ar_5 - 3 >= 0 /\ ar_0 + ar_5 - 3 >= 0 /\ -ar_0 + ar_5 + 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_1 + ar_4 - 3 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ -ar_0 + ar_4 + 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 2 >= 0 /\ 0 >= ar_6 + 1 ] 3.63/2.63 3.63/2.63 evalfoo31(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_7, ar_7)) [ ar_4 - ar_5 >= 0 /\ ar_1 - ar_5 - 1 >= 0 /\ ar_0 - ar_5 - 1 >= 0 /\ ar_5 - 1 >= 0 /\ ar_4 + ar_5 - 2 >= 0 /\ ar_1 + ar_5 - 3 >= 0 /\ ar_0 + ar_5 - 3 >= 0 /\ -ar_0 + ar_5 + 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_1 + ar_4 - 3 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ -ar_0 + ar_4 + 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 2 >= 0 ] 3.63/2.63 3.63/2.63 evalfoo30(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalVERIFIERnondetintstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_4 - ar_5 >= 0 /\ ar_1 - ar_5 - 1 >= 0 /\ ar_0 - ar_5 - 1 >= 0 /\ ar_5 - 1 >= 0 /\ ar_4 + ar_5 - 2 >= 0 /\ ar_1 + ar_5 - 3 >= 0 /\ ar_0 + ar_5 - 3 >= 0 /\ -ar_0 + ar_5 + 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_1 + ar_4 - 3 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ -ar_0 + ar_4 + 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 2 >= 0 ] 3.63/2.63 3.63/2.63 evalfoo3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_2(evalfoo30(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, i), evalfoo31(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, i)) [ ar_4 - ar_5 >= 0 /\ ar_1 - ar_5 - 1 >= 0 /\ ar_0 - ar_5 - 1 >= 0 /\ ar_5 - 1 >= 0 /\ ar_4 + ar_5 - 2 >= 0 /\ ar_1 + ar_5 - 3 >= 0 /\ ar_0 + ar_5 - 3 >= 0 /\ -ar_0 + ar_5 + 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_1 + ar_4 - 3 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ -ar_0 + ar_4 + 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 2 >= 0 ] 3.63/2.63 3.63/2.63 strictly and produces the following problem: 3.63/2.63 3.63/2.63 6: T: 3.63/2.63 3.63/2.63 (Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ 0 <= 0 ] 3.63/2.63 3.63/2.63 (Comp: 2, Cost: 1) evalfoobb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ -ar_0 + ar_1 >= 0 /\ -ar_0 + 1 >= 0 ] 3.63/2.63 3.63/2.63 (Comp: 3*ar_1, Cost: 1) evalfoocritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb1in(ar_5 - 1, ar_1, ar_4 - ar_5 + 1, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_1 - ar_5 - 1 >= 0 /\ ar_0 - ar_5 - 1 >= 0 /\ ar_5 - 1 >= 0 /\ ar_1 + ar_5 - 3 >= 0 /\ ar_0 + ar_5 - 3 >= 0 /\ -ar_0 + ar_5 + 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 2 >= 0 ] 3.63/2.63 3.63/2.63 (Comp: 12*ar_1 + 16*ar_3, Cost: 1) evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4 - 1, ar_5, ar_6, ar_7)) [ ar_6 - ar_7 >= 0 /\ -ar_6 + ar_7 >= 0 /\ ar_4 - ar_5 >= 0 /\ ar_1 - ar_5 - 1 >= 0 /\ ar_0 - ar_5 - 1 >= 0 /\ ar_5 - 1 >= 0 /\ ar_4 + ar_5 - 2 >= 0 /\ ar_1 + ar_5 - 3 >= 0 /\ ar_0 + ar_5 - 3 >= 0 /\ -ar_0 + ar_5 + 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_1 + ar_4 - 3 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ -ar_0 + ar_4 + 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 2 >= 0 ] 3.63/2.63 3.63/2.63 (Comp: 3*ar_1, Cost: 1) evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoocritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_6 - ar_7 >= 0 /\ -ar_6 + ar_7 >= 0 /\ ar_4 - ar_5 >= 0 /\ ar_1 - ar_5 - 1 >= 0 /\ ar_0 - ar_5 - 1 >= 0 /\ ar_5 - 1 >= 0 /\ ar_4 + ar_5 - 2 >= 0 /\ ar_1 + ar_5 - 3 >= 0 /\ ar_0 + ar_5 - 3 >= 0 /\ -ar_0 + ar_5 + 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_1 + ar_4 - 3 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ -ar_0 + ar_4 + 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 2 >= 0 /\ ar_6 = 0 ] 3.63/2.63 3.63/2.63 (Comp: 12*ar_1 + 16*ar_3, Cost: 1) evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_6 - ar_7 >= 0 /\ -ar_6 + ar_7 >= 0 /\ ar_4 - ar_5 >= 0 /\ ar_1 - ar_5 - 1 >= 0 /\ ar_0 - ar_5 - 1 >= 0 /\ ar_5 - 1 >= 0 /\ ar_4 + ar_5 - 2 >= 0 /\ ar_1 + ar_5 - 3 >= 0 /\ ar_0 + ar_5 - 3 >= 0 /\ -ar_0 + ar_5 + 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_1 + ar_4 - 3 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ -ar_0 + ar_4 + 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 2 >= 0 /\ ar_6 >= 1 ] 3.63/2.63 3.63/2.63 (Comp: 12*ar_1 + 16*ar_3, Cost: 1) evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_6 - ar_7 >= 0 /\ -ar_6 + ar_7 >= 0 /\ ar_4 - ar_5 >= 0 /\ ar_1 - ar_5 - 1 >= 0 /\ ar_0 - ar_5 - 1 >= 0 /\ ar_5 - 1 >= 0 /\ ar_4 + ar_5 - 2 >= 0 /\ ar_1 + ar_5 - 3 >= 0 /\ ar_0 + ar_5 - 3 >= 0 /\ -ar_0 + ar_5 + 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_1 + ar_4 - 3 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ -ar_0 + ar_4 + 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 2 >= 0 /\ 0 >= ar_6 + 1 ] 3.63/2.63 3.63/2.63 (Comp: 12*ar_1 + 16*ar_3, Cost: 1) evalfoo3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_2(evalfoo30(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, i), evalfoo31(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, i)) [ ar_4 - ar_5 >= 0 /\ ar_1 - ar_5 - 1 >= 0 /\ ar_0 - ar_5 - 1 >= 0 /\ ar_5 - 1 >= 0 /\ ar_4 + ar_5 - 2 >= 0 /\ ar_1 + ar_5 - 3 >= 0 /\ ar_0 + ar_5 - 3 >= 0 /\ -ar_0 + ar_5 + 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_1 + ar_4 - 3 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ -ar_0 + ar_4 + 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 2 >= 0 ] 3.63/2.63 3.63/2.63 (Comp: 12*ar_1 + 16*ar_3, Cost: 1) evalfoo31(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_7, ar_7)) [ ar_4 - ar_5 >= 0 /\ ar_1 - ar_5 - 1 >= 0 /\ ar_0 - ar_5 - 1 >= 0 /\ ar_5 - 1 >= 0 /\ ar_4 + ar_5 - 2 >= 0 /\ ar_1 + ar_5 - 3 >= 0 /\ ar_0 + ar_5 - 3 >= 0 /\ -ar_0 + ar_5 + 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_1 + ar_4 - 3 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ -ar_0 + ar_4 + 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 2 >= 0 ] 3.63/2.63 3.63/2.63 (Comp: 12*ar_1 + 16*ar_3, Cost: 1) evalfoo30(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalVERIFIERnondetintstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_4 - ar_5 >= 0 /\ ar_1 - ar_5 - 1 >= 0 /\ ar_0 - ar_5 - 1 >= 0 /\ ar_5 - 1 >= 0 /\ ar_4 + ar_5 - 2 >= 0 /\ ar_1 + ar_5 - 3 >= 0 /\ ar_0 + ar_5 - 3 >= 0 /\ -ar_0 + ar_5 + 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_1 + ar_4 - 3 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ -ar_0 + ar_4 + 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 2 >= 0 ] 3.63/2.63 3.63/2.63 (Comp: 12*ar_1 + 16*ar_3, Cost: 1) evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoo3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_4 - ar_5 >= 0 /\ ar_1 - ar_5 - 1 >= 0 /\ ar_0 - ar_5 - 1 >= 0 /\ ar_5 - 1 >= 0 /\ ar_4 + ar_5 - 2 >= 0 /\ ar_1 + ar_5 - 3 >= 0 /\ ar_0 + ar_5 - 3 >= 0 /\ -ar_0 + ar_5 + 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_1 + ar_4 - 3 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ -ar_0 + ar_4 + 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 2 >= 0 ] 3.63/2.63 3.63/2.63 (Comp: 3*ar_1, Cost: 1) evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoocritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_1 - ar_5 - 1 >= 0 /\ ar_0 - ar_5 - 1 >= 0 /\ ar_5 - 1 >= 0 /\ ar_1 + ar_5 - 3 >= 0 /\ ar_0 + ar_5 - 3 >= 0 /\ -ar_0 + ar_5 + 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 2 >= 0 /\ ar_5 >= ar_4 + 1 ] 3.63/2.63 3.63/2.63 (Comp: 12*ar_1 + 16*ar_3, Cost: 1) evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_1 - ar_5 - 1 >= 0 /\ ar_0 - ar_5 - 1 >= 0 /\ ar_5 - 1 >= 0 /\ ar_1 + ar_5 - 3 >= 0 /\ ar_0 + ar_5 - 3 >= 0 /\ -ar_0 + ar_5 + 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 2 >= 0 /\ ar_4 >= ar_5 ] 3.63/2.63 3.63/2.63 (Comp: 3*ar_1, Cost: 1) evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_2 + ar_0 - 1, ar_0 - 1, ar_6, ar_7)) [ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 2 >= 0 ] 3.63/2.63 3.63/2.63 (Comp: 2, Cost: 1) evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ -ar_0 + ar_1 >= 0 /\ 1 >= ar_0 ] 3.63/2.63 3.63/2.63 (Comp: 3*ar_1, Cost: 1) evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ -ar_0 + ar_1 >= 0 /\ ar_0 >= 2 ] 3.63/2.63 3.63/2.63 (Comp: 1, Cost: 1) evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5, ar_6, ar_7)) 3.63/2.63 3.63/2.63 (Comp: 1, Cost: 1) evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) 3.63/2.63 3.63/2.63 start location: koat_start 3.63/2.63 3.63/2.63 leaf cost: 0 3.63/2.63 3.63/2.63 3.63/2.63 3.63/2.63 Complexity upper bound 111*ar_1 + 128*ar_3 + 6 3.63/2.63 3.63/2.63 3.63/2.63 3.63/2.63 Time: 1.243 sec (SMT: 0.906 sec) 3.63/2.63 3.63/2.63 3.63/2.63 ---------------------------------------- 3.63/2.63 3.63/2.63 (2) 3.63/2.63 BOUNDS(1, n^1) 3.71/4.23 EOF