YES * Step 1: UnsatPaths YES + Considered Problem: Rules: 0. eval_cousot9_start(v__0,v_N,v_i_0,v_j) -> eval_cousot9_bb0_in(v__0,v_N,v_i_0,v_j) True (1,1) 1. eval_cousot9_bb0_in(v__0,v_N,v_i_0,v_j) -> eval_cousot9_0(v__0,v_N,v_i_0,v_j) True (?,1) 2. eval_cousot9_0(v__0,v_N,v_i_0,v_j) -> eval_cousot9_1(v__0,v_N,v_i_0,v_j) True (?,1) 3. eval_cousot9_1(v__0,v_N,v_i_0,v_j) -> eval_cousot9_2(v__0,v_N,v_i_0,v_j) True (?,1) 4. eval_cousot9_2(v__0,v_N,v_i_0,v_j) -> eval_cousot9_3(v__0,v_N,v_i_0,v_j) True (?,1) 5. eval_cousot9_3(v__0,v_N,v_i_0,v_j) -> eval_cousot9_4(v__0,v_N,v_i_0,v_j) True (?,1) 6. eval_cousot9_4(v__0,v_N,v_i_0,v_j) -> eval_cousot9_5(v__0,v_N,v_i_0,v_j) True (?,1) 7. eval_cousot9_5(v__0,v_N,v_i_0,v_j) -> eval_cousot9_6(v__0,v_N,v_i_0,v_j) True (?,1) 8. eval_cousot9_6(v__0,v_N,v_i_0,v_j) -> eval_cousot9_bb1_in(v_j,v_N,v_N,v_j) True (?,1) 9. eval_cousot9_bb1_in(v__0,v_N,v_i_0,v_j) -> eval_cousot9_bb2_in(v__0,v_N,v_i_0,v_j) [v_N + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0] (?,1) 10. eval_cousot9_bb1_in(v__0,v_N,v_i_0,v_j) -> eval_cousot9_bb3_in(v__0,v_N,v_i_0,v_j) [v_N + -1*v_i_0 >= 0 && 0 >= v_i_0] (?,1) 11. eval_cousot9_bb2_in(v__0,v_N,v_i_0,v_j) -> eval_cousot9_bb1_in(-1 + v__0,v_N,v_i_0,v_j) [v_N + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -2 + v_N + v_i_0 >= 0 && -1 + v_N >= 0 && -1 + v__0 >= 0] (?,1) 12. eval_cousot9_bb2_in(v__0,v_N,v_i_0,v_j) -> eval_cousot9_bb1_in(v_N,v_N,-1 + v_i_0,v_j) [v_N + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -2 + v_N + v_i_0 >= 0 && -1 + v_N >= 0 && 0 >= v__0] (?,1) 13. eval_cousot9_bb3_in(v__0,v_N,v_i_0,v_j) -> eval_cousot9_stop(v__0,v_N,v_i_0,v_j) [-1*v_i_0 >= 0 && v_N + -1*v_i_0 >= 0] (?,1) Signature: {(eval_cousot9_0,4) ;(eval_cousot9_1,4) ;(eval_cousot9_2,4) ;(eval_cousot9_3,4) ;(eval_cousot9_4,4) ;(eval_cousot9_5,4) ;(eval_cousot9_6,4) ;(eval_cousot9_bb0_in,4) ;(eval_cousot9_bb1_in,4) ;(eval_cousot9_bb2_in,4) ;(eval_cousot9_bb3_in,4) ;(eval_cousot9_start,4) ;(eval_cousot9_stop,4)} Flow Graph: [0->{1},1->{2},2->{3},3->{4},4->{5},5->{6},6->{7},7->{8},8->{9,10},9->{11,12},10->{13},11->{9,10},12->{9 ,10},13->{}] + Applied Processor: UnsatPaths + Details: We remove following edges from the transition graph: [(11,10)] * Step 2: FromIts YES + Considered Problem: Rules: 0. eval_cousot9_start(v__0,v_N,v_i_0,v_j) -> eval_cousot9_bb0_in(v__0,v_N,v_i_0,v_j) True (1,1) 1. eval_cousot9_bb0_in(v__0,v_N,v_i_0,v_j) -> eval_cousot9_0(v__0,v_N,v_i_0,v_j) True (?,1) 2. eval_cousot9_0(v__0,v_N,v_i_0,v_j) -> eval_cousot9_1(v__0,v_N,v_i_0,v_j) True (?,1) 3. eval_cousot9_1(v__0,v_N,v_i_0,v_j) -> eval_cousot9_2(v__0,v_N,v_i_0,v_j) True (?,1) 4. eval_cousot9_2(v__0,v_N,v_i_0,v_j) -> eval_cousot9_3(v__0,v_N,v_i_0,v_j) True (?,1) 5. eval_cousot9_3(v__0,v_N,v_i_0,v_j) -> eval_cousot9_4(v__0,v_N,v_i_0,v_j) True (?,1) 6. eval_cousot9_4(v__0,v_N,v_i_0,v_j) -> eval_cousot9_5(v__0,v_N,v_i_0,v_j) True (?,1) 7. eval_cousot9_5(v__0,v_N,v_i_0,v_j) -> eval_cousot9_6(v__0,v_N,v_i_0,v_j) True (?,1) 8. eval_cousot9_6(v__0,v_N,v_i_0,v_j) -> eval_cousot9_bb1_in(v_j,v_N,v_N,v_j) True (?,1) 9. eval_cousot9_bb1_in(v__0,v_N,v_i_0,v_j) -> eval_cousot9_bb2_in(v__0,v_N,v_i_0,v_j) [v_N + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0] (?,1) 10. eval_cousot9_bb1_in(v__0,v_N,v_i_0,v_j) -> eval_cousot9_bb3_in(v__0,v_N,v_i_0,v_j) [v_N + -1*v_i_0 >= 0 && 0 >= v_i_0] (?,1) 11. eval_cousot9_bb2_in(v__0,v_N,v_i_0,v_j) -> eval_cousot9_bb1_in(-1 + v__0,v_N,v_i_0,v_j) [v_N + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -2 + v_N + v_i_0 >= 0 && -1 + v_N >= 0 && -1 + v__0 >= 0] (?,1) 12. eval_cousot9_bb2_in(v__0,v_N,v_i_0,v_j) -> eval_cousot9_bb1_in(v_N,v_N,-1 + v_i_0,v_j) [v_N + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -2 + v_N + v_i_0 >= 0 && -1 + v_N >= 0 && 0 >= v__0] (?,1) 13. eval_cousot9_bb3_in(v__0,v_N,v_i_0,v_j) -> eval_cousot9_stop(v__0,v_N,v_i_0,v_j) [-1*v_i_0 >= 0 && v_N + -1*v_i_0 >= 0] (?,1) Signature: {(eval_cousot9_0,4) ;(eval_cousot9_1,4) ;(eval_cousot9_2,4) ;(eval_cousot9_3,4) ;(eval_cousot9_4,4) ;(eval_cousot9_5,4) ;(eval_cousot9_6,4) ;(eval_cousot9_bb0_in,4) ;(eval_cousot9_bb1_in,4) ;(eval_cousot9_bb2_in,4) ;(eval_cousot9_bb3_in,4) ;(eval_cousot9_start,4) ;(eval_cousot9_stop,4)} Flow Graph: [0->{1},1->{2},2->{3},3->{4},4->{5},5->{6},6->{7},7->{8},8->{9,10},9->{11,12},10->{13},11->{9},12->{9,10} ,13->{}] + Applied Processor: FromIts + Details: () * Step 3: Decompose YES + Considered Problem: Rules: eval_cousot9_start(v__0,v_N,v_i_0,v_j) -> eval_cousot9_bb0_in(v__0,v_N,v_i_0,v_j) True eval_cousot9_bb0_in(v__0,v_N,v_i_0,v_j) -> eval_cousot9_0(v__0,v_N,v_i_0,v_j) True eval_cousot9_0(v__0,v_N,v_i_0,v_j) -> eval_cousot9_1(v__0,v_N,v_i_0,v_j) True eval_cousot9_1(v__0,v_N,v_i_0,v_j) -> eval_cousot9_2(v__0,v_N,v_i_0,v_j) True eval_cousot9_2(v__0,v_N,v_i_0,v_j) -> eval_cousot9_3(v__0,v_N,v_i_0,v_j) True eval_cousot9_3(v__0,v_N,v_i_0,v_j) -> eval_cousot9_4(v__0,v_N,v_i_0,v_j) True eval_cousot9_4(v__0,v_N,v_i_0,v_j) -> eval_cousot9_5(v__0,v_N,v_i_0,v_j) True eval_cousot9_5(v__0,v_N,v_i_0,v_j) -> eval_cousot9_6(v__0,v_N,v_i_0,v_j) True eval_cousot9_6(v__0,v_N,v_i_0,v_j) -> eval_cousot9_bb1_in(v_j,v_N,v_N,v_j) True eval_cousot9_bb1_in(v__0,v_N,v_i_0,v_j) -> eval_cousot9_bb2_in(v__0,v_N,v_i_0,v_j) [v_N + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0] eval_cousot9_bb1_in(v__0,v_N,v_i_0,v_j) -> eval_cousot9_bb3_in(v__0,v_N,v_i_0,v_j) [v_N + -1*v_i_0 >= 0 && 0 >= v_i_0] eval_cousot9_bb2_in(v__0,v_N,v_i_0,v_j) -> eval_cousot9_bb1_in(-1 + v__0,v_N,v_i_0,v_j) [v_N + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -2 + v_N + v_i_0 >= 0 && -1 + v_N >= 0 && -1 + v__0 >= 0] eval_cousot9_bb2_in(v__0,v_N,v_i_0,v_j) -> eval_cousot9_bb1_in(v_N,v_N,-1 + v_i_0,v_j) [v_N + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -2 + v_N + v_i_0 >= 0 && -1 + v_N >= 0 && 0 >= v__0] eval_cousot9_bb3_in(v__0,v_N,v_i_0,v_j) -> eval_cousot9_stop(v__0,v_N,v_i_0,v_j) [-1*v_i_0 >= 0 && v_N + -1*v_i_0 >= 0] Signature: {(eval_cousot9_0,4) ;(eval_cousot9_1,4) ;(eval_cousot9_2,4) ;(eval_cousot9_3,4) ;(eval_cousot9_4,4) ;(eval_cousot9_5,4) ;(eval_cousot9_6,4) ;(eval_cousot9_bb0_in,4) ;(eval_cousot9_bb1_in,4) ;(eval_cousot9_bb2_in,4) ;(eval_cousot9_bb3_in,4) ;(eval_cousot9_start,4) ;(eval_cousot9_stop,4)} Rule Graph: [0->{1},1->{2},2->{3},3->{4},4->{5},5->{6},6->{7},7->{8},8->{9,10},9->{11,12},10->{13},11->{9},12->{9,10} ,13->{}] + Applied Processor: Decompose NoGreedy + Details: We construct a looptree: P: [0,1,2,3,4,5,6,7,8,9,10,11,12,13] | `- p:[9,11,12] c: [12] | `- p:[9,11] c: [9,11] * Step 4: CloseWith YES + Considered Problem: (Rules: eval_cousot9_start(v__0,v_N,v_i_0,v_j) -> eval_cousot9_bb0_in(v__0,v_N,v_i_0,v_j) True eval_cousot9_bb0_in(v__0,v_N,v_i_0,v_j) -> eval_cousot9_0(v__0,v_N,v_i_0,v_j) True eval_cousot9_0(v__0,v_N,v_i_0,v_j) -> eval_cousot9_1(v__0,v_N,v_i_0,v_j) True eval_cousot9_1(v__0,v_N,v_i_0,v_j) -> eval_cousot9_2(v__0,v_N,v_i_0,v_j) True eval_cousot9_2(v__0,v_N,v_i_0,v_j) -> eval_cousot9_3(v__0,v_N,v_i_0,v_j) True eval_cousot9_3(v__0,v_N,v_i_0,v_j) -> eval_cousot9_4(v__0,v_N,v_i_0,v_j) True eval_cousot9_4(v__0,v_N,v_i_0,v_j) -> eval_cousot9_5(v__0,v_N,v_i_0,v_j) True eval_cousot9_5(v__0,v_N,v_i_0,v_j) -> eval_cousot9_6(v__0,v_N,v_i_0,v_j) True eval_cousot9_6(v__0,v_N,v_i_0,v_j) -> eval_cousot9_bb1_in(v_j,v_N,v_N,v_j) True eval_cousot9_bb1_in(v__0,v_N,v_i_0,v_j) -> eval_cousot9_bb2_in(v__0,v_N,v_i_0,v_j) [v_N + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0] eval_cousot9_bb1_in(v__0,v_N,v_i_0,v_j) -> eval_cousot9_bb3_in(v__0,v_N,v_i_0,v_j) [v_N + -1*v_i_0 >= 0 && 0 >= v_i_0] eval_cousot9_bb2_in(v__0,v_N,v_i_0,v_j) -> eval_cousot9_bb1_in(-1 + v__0,v_N,v_i_0,v_j) [v_N + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -2 + v_N + v_i_0 >= 0 && -1 + v_N >= 0 && -1 + v__0 >= 0] eval_cousot9_bb2_in(v__0,v_N,v_i_0,v_j) -> eval_cousot9_bb1_in(v_N,v_N,-1 + v_i_0,v_j) [v_N + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -2 + v_N + v_i_0 >= 0 && -1 + v_N >= 0 && 0 >= v__0] eval_cousot9_bb3_in(v__0,v_N,v_i_0,v_j) -> eval_cousot9_stop(v__0,v_N,v_i_0,v_j) [-1*v_i_0 >= 0 && v_N + -1*v_i_0 >= 0] Signature: {(eval_cousot9_0,4) ;(eval_cousot9_1,4) ;(eval_cousot9_2,4) ;(eval_cousot9_3,4) ;(eval_cousot9_4,4) ;(eval_cousot9_5,4) ;(eval_cousot9_6,4) ;(eval_cousot9_bb0_in,4) ;(eval_cousot9_bb1_in,4) ;(eval_cousot9_bb2_in,4) ;(eval_cousot9_bb3_in,4) ;(eval_cousot9_start,4) ;(eval_cousot9_stop,4)} Rule Graph: [0->{1},1->{2},2->{3},3->{4},4->{5},5->{6},6->{7},7->{8},8->{9,10},9->{11,12},10->{13},11->{9},12->{9,10} ,13->{}] ,We construct a looptree: P: [0,1,2,3,4,5,6,7,8,9,10,11,12,13] | `- p:[9,11,12] c: [12] | `- p:[9,11] c: [9,11]) + Applied Processor: CloseWith True + Details: () YES