/export/starexec/sandbox/solver/bin/starexec_run_c_complexity /export/starexec/sandbox/benchmark/theBenchmark.c /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- WORST_CASE(?, O(n^1)) proof of /export/starexec/sandbox/output/output_files/bench.koat # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, n^1). (0) CpxIntTrs (1) Koat Proof [FINISHED, 995 ms] (2) BOUNDS(1, n^1) ---------------------------------------- (0) Obligation: Complexity Int TRS consisting of the following rules: 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 The start-symbols are:[eval_foo_start_7] ---------------------------------------- (1) Koat Proof (FINISHED) YES(?, 71*Ar_1 + 56*Ar_3 + 6) Initial complexity problem: 1: T: (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)) (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)) (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 ] (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 ] (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)) (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 ] (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 ] (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)) (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)) (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)) (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, Fresh_0), evalfoo31(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Fresh_0)) (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 ] (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 ] (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 ] (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)) (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)) (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)) (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 ] start location: koat_start leaf cost: 0 Repeatedly propagating knowledge in problem 1 produces the following problem: 2: T: (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)) (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)) (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 ] (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 ] (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)) (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 ] (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 ] (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)) (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)) (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)) (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, Fresh_0), evalfoo31(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Fresh_0)) (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 ] (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 ] (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 ] (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)) (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)) (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)) (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 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(evalfoostart) = 2 Pol(evalfoobb0in) = 2 Pol(evalfoobb1in) = 2 Pol(evalfoobb2in) = 2 Pol(evalfoobb6in) = 1 Pol(evalfoobb3in) = 2 Pol(evalfoobb4in) = 2 Pol(evalfoocritedgein) = 2 Pol(evalfoo3) = 2 Pol(evalfoo30) = 0 Pol(evalVERIFIERnondetintstart) = 0 Pol(evalfoo31) = 2 Pol(evalfoo4) = 2 Pol(evalfoobb5in) = 2 Pol(evalfoostop) = 0 Pol(koat_start) = 2 orients all transitions weakly and the transitions 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)) 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 ] strictly and produces the following problem: 3: T: (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)) (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)) (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 ] (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 ] (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)) (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 ] (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 ] (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)) (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)) (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)) (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, Fresh_0), evalfoo31(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Fresh_0)) (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 ] (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 ] (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 ] (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)) (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)) (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)) (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 ] start location: koat_start leaf cost: 0 Applied AI with 'oct' on problem 3 to obtain the following invariants: 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 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 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 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 For symbol evalfoobb1in: -X_1 + X_2 >= 0 For symbol evalfoobb2in: X_2 - 2 >= 0 /\ X_1 + X_2 - 4 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 - 2 >= 0 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 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 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 For symbol evalfoobb6in: -X_1 + X_2 >= 0 /\ -X_1 + 1 >= 0 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 This yielded the following problem: 4: T: (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, 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 ] (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 ] (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 ] (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 ] (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 ] (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 ] (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 ] (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, Fresh_0), evalfoo31(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Fresh_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 ] (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 ] (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 ] (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 ] (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 ] (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 ] (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 ] (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 ] (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 ] (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)) (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)) start location: koat_start leaf cost: 0 A polynomial rank function with Pol(koat_start) = 3*V_2 Pol(evalfoostart) = 3*V_2 Pol(evalfoobb6in) = 3*V_1 Pol(evalfoostop) = 3*V_1 Pol(evalfoocritedgein) = 3*V_6 - 1 Pol(evalfoobb1in) = 3*V_1 Pol(evalfoobb5in) = 3*V_6 + 1 Pol(evalfoobb3in) = V_1 + 2*V_6 Pol(evalfoo4) = 3*V_6 + 1 Pol(evalfoo3) = 3*V_6 + 1 Pol(evalfoo30) = -3*V_5 + 3 Pol(evalfoo31) = 3*V_6 + 1 Pol(evalVERIFIERnondetintstart) = -3*V_5 + 3 Pol(evalfoobb4in) = V_1 + 2*V_6 Pol(evalfoobb2in) = 3*V_1 - 1 Pol(evalfoobb0in) = 3*V_2 orients all transitions weakly and the transitions 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 ] 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 ] 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 ] 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 ] 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 ] strictly and produces the following problem: 5: T: (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, 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 ] (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 ] (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 ] (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 ] (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 ] (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 ] (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 ] (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, Fresh_0), evalfoo31(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Fresh_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 ] (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 ] (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 ] (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 ] (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 ] (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 ] (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 ] (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 ] (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 ] (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)) (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)) start location: koat_start leaf cost: 0 A polynomial rank function with Pol(koat_start) = 7*V_2 + 7*V_4 Pol(evalfoostart) = 7*V_2 + 7*V_4 - 5 Pol(evalfoobb6in) = 7*V_1 + 7*V_3 - 5 Pol(evalfoostop) = 7*V_1 + 7*V_3 - 5 Pol(evalfoocritedgein) = 7*V_5 - 3 Pol(evalfoobb1in) = 7*V_1 + 7*V_3 - 5 Pol(evalfoobb5in) = 7*V_5 - 4 Pol(evalfoobb3in) = 7*V_5 + 2 Pol(evalfoo4) = 7*V_5 - 3 Pol(evalfoo3) = 7*V_5 Pol(evalfoo30) = 1 Pol(evalfoo31) = 7*V_5 - 2 Pol(evalVERIFIERnondetintstart) = 0 Pol(evalfoobb4in) = 7*V_5 + 1 Pol(evalfoobb2in) = 7*V_1 + 7*V_3 - 5 Pol(evalfoobb0in) = 7*V_2 + 7*V_4 - 5 orients all transitions weakly and the transitions 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 ] 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 ] 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 ] 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 ] 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 ] 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 ] 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 ] 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, Fresh_0), evalfoo31(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Fresh_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 ] strictly and produces the following problem: 6: T: (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 ] (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 ] (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 ] (Comp: 7*Ar_1 + 7*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 ] (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 ] (Comp: 7*Ar_1 + 7*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 ] (Comp: 7*Ar_1 + 7*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 ] (Comp: 7*Ar_1 + 7*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, Fresh_0), evalfoo31(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Fresh_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 ] (Comp: 7*Ar_1 + 7*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 ] (Comp: 7*Ar_1 + 7*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 ] (Comp: 7*Ar_1 + 7*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 ] (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 ] (Comp: 7*Ar_1 + 7*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 ] (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 ] (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 ] (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 ] (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)) (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)) start location: koat_start leaf cost: 0 Complexity upper bound 71*Ar_1 + 56*Ar_3 + 6 Time: 0.957 sec (SMT: 0.660 sec) ---------------------------------------- (2) BOUNDS(1, n^1)