YES * Step 1: UnsatPaths YES + Considered Problem: Rules: 0. eval_wise_start(v__0,v__01,v_x,v_y) -> eval_wise_bb0_in(v__0,v__01,v_x,v_y) True (1,1) 1. eval_wise_bb0_in(v__0,v__01,v_x,v_y) -> eval_wise_0(v__0,v__01,v_x,v_y) True (?,1) 2. eval_wise_0(v__0,v__01,v_x,v_y) -> eval_wise_1(v__0,v__01,v_x,v_y) True (?,1) 3. eval_wise_1(v__0,v__01,v_x,v_y) -> eval_wise_2(v__0,v__01,v_x,v_y) True (?,1) 4. eval_wise_2(v__0,v__01,v_x,v_y) -> eval_wise_bb2_in(v__0,v__01,v_x,v_y) [-1 >= v_x] (?,1) 5. eval_wise_2(v__0,v__01,v_x,v_y) -> eval_wise_bb2_in(v__0,v__01,v_x,v_y) [-1 >= v_y] (?,1) 6. eval_wise_2(v__0,v__01,v_x,v_y) -> eval_wise_bb1_in(v_x,v_y,v_x,v_y) [v_x >= 0 && v_y >= 0] (?,1) 7. eval_wise_bb1_in(v__0,v__01,v_x,v_y) -> eval_wise__critedge_in(v__0,v__01,v_x,v_y) [v__01 + -1*v_y >= 0 (?,1) && v_y >= 0 && v_x + v_y >= 0 && v__01 + v_y >= 0 && v__0 + v_y >= 0 && v__0 + -1*v_x >= 0 && v_x >= 0 && v__01 + v_x >= 0 && v__0 + v_x >= 0 && v__01 >= 0 && v__0 + v__01 >= 0 && v__0 >= 0 && -1 + v__0 + -1*v__01 >= 2] 8. eval_wise_bb1_in(v__0,v__01,v_x,v_y) -> eval_wise__critedge_in(v__0,v__01,v_x,v_y) [v__01 + -1*v_y >= 0 (?,1) && v_y >= 0 && v_x + v_y >= 0 && v__01 + v_y >= 0 && v__0 + v_y >= 0 && v__0 + -1*v_x >= 0 && v_x >= 0 && v__01 + v_x >= 0 && v__0 + v_x >= 0 && v__01 >= 0 && v__0 + v__01 >= 0 && v__0 >= 0 && -1 + -1*v__0 + v__01 >= 2] 9. eval_wise_bb1_in(v__0,v__01,v_x,v_y) -> eval_wise_bb2_in(v__0,v__01,v_x,v_y) [v__01 + -1*v_y >= 0 (?,1) && v_y >= 0 && v_x + v_y >= 0 && v__01 + v_y >= 0 && v__0 + v_y >= 0 && v__0 + -1*v_x >= 0 && v_x >= 0 && v__01 + v_x >= 0 && v__0 + v_x >= 0 && v__01 >= 0 && v__0 + v__01 >= 0 && v__0 >= 0 && 2 >= v__0 + -1*v__01 && 2 >= -1*v__0 + v__01] 10. eval_wise__critedge_in(v__0,v__01,v_x,v_y) -> eval_wise_bb1_in(1 + v__0,v__01,v_x,v_y) [v__01 + -1*v_y >= 0 (?,1) && v_y >= 0 && v_x + v_y >= 0 && v__01 + v_y >= 0 && v__0 + v_y >= 0 && v__0 + -1*v_x >= 0 && v_x >= 0 && v__01 + v_x >= 0 && v__0 + v_x >= 0 && v__01 >= 0 && -3 + v__0 + v__01 >= 0 && v__0 >= 0 && -1 + v__01 >= v__0] 11. eval_wise__critedge_in(v__0,v__01,v_x,v_y) -> eval_wise_bb1_in(v__0,1 + v__01,v_x,v_y) [v__01 + -1*v_y >= 0 (?,1) && v_y >= 0 && v_x + v_y >= 0 && v__01 + v_y >= 0 && v__0 + v_y >= 0 && v__0 + -1*v_x >= 0 && v_x >= 0 && v__01 + v_x >= 0 && v__0 + v_x >= 0 && v__01 >= 0 && -3 + v__0 + v__01 >= 0 && v__0 >= 0 && v__0 >= v__01] 12. eval_wise_bb2_in(v__0,v__01,v_x,v_y) -> eval_wise_stop(v__0,v__01,v_x,v_y) True (?,1) Signature: {(eval_wise_0,4) ;(eval_wise_1,4) ;(eval_wise_2,4) ;(eval_wise__critedge_in,4) ;(eval_wise_bb0_in,4) ;(eval_wise_bb1_in,4) ;(eval_wise_bb2_in,4) ;(eval_wise_start,4) ;(eval_wise_stop,4)} Flow Graph: [0->{1},1->{2},2->{3},3->{4,5,6},4->{12},5->{12},6->{7,8,9},7->{10,11},8->{10,11},9->{12},10->{7,8,9} ,11->{7,8,9},12->{}] + Applied Processor: UnsatPaths + Details: We remove following edges from the transition graph: [(7,10),(8,11),(10,7),(11,8)] * Step 2: FromIts YES + Considered Problem: Rules: 0. eval_wise_start(v__0,v__01,v_x,v_y) -> eval_wise_bb0_in(v__0,v__01,v_x,v_y) True (1,1) 1. eval_wise_bb0_in(v__0,v__01,v_x,v_y) -> eval_wise_0(v__0,v__01,v_x,v_y) True (?,1) 2. eval_wise_0(v__0,v__01,v_x,v_y) -> eval_wise_1(v__0,v__01,v_x,v_y) True (?,1) 3. eval_wise_1(v__0,v__01,v_x,v_y) -> eval_wise_2(v__0,v__01,v_x,v_y) True (?,1) 4. eval_wise_2(v__0,v__01,v_x,v_y) -> eval_wise_bb2_in(v__0,v__01,v_x,v_y) [-1 >= v_x] (?,1) 5. eval_wise_2(v__0,v__01,v_x,v_y) -> eval_wise_bb2_in(v__0,v__01,v_x,v_y) [-1 >= v_y] (?,1) 6. eval_wise_2(v__0,v__01,v_x,v_y) -> eval_wise_bb1_in(v_x,v_y,v_x,v_y) [v_x >= 0 && v_y >= 0] (?,1) 7. eval_wise_bb1_in(v__0,v__01,v_x,v_y) -> eval_wise__critedge_in(v__0,v__01,v_x,v_y) [v__01 + -1*v_y >= 0 (?,1) && v_y >= 0 && v_x + v_y >= 0 && v__01 + v_y >= 0 && v__0 + v_y >= 0 && v__0 + -1*v_x >= 0 && v_x >= 0 && v__01 + v_x >= 0 && v__0 + v_x >= 0 && v__01 >= 0 && v__0 + v__01 >= 0 && v__0 >= 0 && -1 + v__0 + -1*v__01 >= 2] 8. eval_wise_bb1_in(v__0,v__01,v_x,v_y) -> eval_wise__critedge_in(v__0,v__01,v_x,v_y) [v__01 + -1*v_y >= 0 (?,1) && v_y >= 0 && v_x + v_y >= 0 && v__01 + v_y >= 0 && v__0 + v_y >= 0 && v__0 + -1*v_x >= 0 && v_x >= 0 && v__01 + v_x >= 0 && v__0 + v_x >= 0 && v__01 >= 0 && v__0 + v__01 >= 0 && v__0 >= 0 && -1 + -1*v__0 + v__01 >= 2] 9. eval_wise_bb1_in(v__0,v__01,v_x,v_y) -> eval_wise_bb2_in(v__0,v__01,v_x,v_y) [v__01 + -1*v_y >= 0 (?,1) && v_y >= 0 && v_x + v_y >= 0 && v__01 + v_y >= 0 && v__0 + v_y >= 0 && v__0 + -1*v_x >= 0 && v_x >= 0 && v__01 + v_x >= 0 && v__0 + v_x >= 0 && v__01 >= 0 && v__0 + v__01 >= 0 && v__0 >= 0 && 2 >= v__0 + -1*v__01 && 2 >= -1*v__0 + v__01] 10. eval_wise__critedge_in(v__0,v__01,v_x,v_y) -> eval_wise_bb1_in(1 + v__0,v__01,v_x,v_y) [v__01 + -1*v_y >= 0 (?,1) && v_y >= 0 && v_x + v_y >= 0 && v__01 + v_y >= 0 && v__0 + v_y >= 0 && v__0 + -1*v_x >= 0 && v_x >= 0 && v__01 + v_x >= 0 && v__0 + v_x >= 0 && v__01 >= 0 && -3 + v__0 + v__01 >= 0 && v__0 >= 0 && -1 + v__01 >= v__0] 11. eval_wise__critedge_in(v__0,v__01,v_x,v_y) -> eval_wise_bb1_in(v__0,1 + v__01,v_x,v_y) [v__01 + -1*v_y >= 0 (?,1) && v_y >= 0 && v_x + v_y >= 0 && v__01 + v_y >= 0 && v__0 + v_y >= 0 && v__0 + -1*v_x >= 0 && v_x >= 0 && v__01 + v_x >= 0 && v__0 + v_x >= 0 && v__01 >= 0 && -3 + v__0 + v__01 >= 0 && v__0 >= 0 && v__0 >= v__01] 12. eval_wise_bb2_in(v__0,v__01,v_x,v_y) -> eval_wise_stop(v__0,v__01,v_x,v_y) True (?,1) Signature: {(eval_wise_0,4) ;(eval_wise_1,4) ;(eval_wise_2,4) ;(eval_wise__critedge_in,4) ;(eval_wise_bb0_in,4) ;(eval_wise_bb1_in,4) ;(eval_wise_bb2_in,4) ;(eval_wise_start,4) ;(eval_wise_stop,4)} Flow Graph: [0->{1},1->{2},2->{3},3->{4,5,6},4->{12},5->{12},6->{7,8,9},7->{11},8->{10},9->{12},10->{8,9},11->{7,9} ,12->{}] + Applied Processor: FromIts + Details: () * Step 3: Decompose YES + Considered Problem: Rules: eval_wise_start(v__0,v__01,v_x,v_y) -> eval_wise_bb0_in(v__0,v__01,v_x,v_y) True eval_wise_bb0_in(v__0,v__01,v_x,v_y) -> eval_wise_0(v__0,v__01,v_x,v_y) True eval_wise_0(v__0,v__01,v_x,v_y) -> eval_wise_1(v__0,v__01,v_x,v_y) True eval_wise_1(v__0,v__01,v_x,v_y) -> eval_wise_2(v__0,v__01,v_x,v_y) True eval_wise_2(v__0,v__01,v_x,v_y) -> eval_wise_bb2_in(v__0,v__01,v_x,v_y) [-1 >= v_x] eval_wise_2(v__0,v__01,v_x,v_y) -> eval_wise_bb2_in(v__0,v__01,v_x,v_y) [-1 >= v_y] eval_wise_2(v__0,v__01,v_x,v_y) -> eval_wise_bb1_in(v_x,v_y,v_x,v_y) [v_x >= 0 && v_y >= 0] eval_wise_bb1_in(v__0,v__01,v_x,v_y) -> eval_wise__critedge_in(v__0,v__01,v_x,v_y) [v__01 + -1*v_y >= 0 && v_y >= 0 && v_x + v_y >= 0 && v__01 + v_y >= 0 && v__0 + v_y >= 0 && v__0 + -1*v_x >= 0 && v_x >= 0 && v__01 + v_x >= 0 && v__0 + v_x >= 0 && v__01 >= 0 && v__0 + v__01 >= 0 && v__0 >= 0 && -1 + v__0 + -1*v__01 >= 2] eval_wise_bb1_in(v__0,v__01,v_x,v_y) -> eval_wise__critedge_in(v__0,v__01,v_x,v_y) [v__01 + -1*v_y >= 0 && v_y >= 0 && v_x + v_y >= 0 && v__01 + v_y >= 0 && v__0 + v_y >= 0 && v__0 + -1*v_x >= 0 && v_x >= 0 && v__01 + v_x >= 0 && v__0 + v_x >= 0 && v__01 >= 0 && v__0 + v__01 >= 0 && v__0 >= 0 && -1 + -1*v__0 + v__01 >= 2] eval_wise_bb1_in(v__0,v__01,v_x,v_y) -> eval_wise_bb2_in(v__0,v__01,v_x,v_y) [v__01 + -1*v_y >= 0 && v_y >= 0 && v_x + v_y >= 0 && v__01 + v_y >= 0 && v__0 + v_y >= 0 && v__0 + -1*v_x >= 0 && v_x >= 0 && v__01 + v_x >= 0 && v__0 + v_x >= 0 && v__01 >= 0 && v__0 + v__01 >= 0 && v__0 >= 0 && 2 >= v__0 + -1*v__01 && 2 >= -1*v__0 + v__01] eval_wise__critedge_in(v__0,v__01,v_x,v_y) -> eval_wise_bb1_in(1 + v__0,v__01,v_x,v_y) [v__01 + -1*v_y >= 0 && v_y >= 0 && v_x + v_y >= 0 && v__01 + v_y >= 0 && v__0 + v_y >= 0 && v__0 + -1*v_x >= 0 && v_x >= 0 && v__01 + v_x >= 0 && v__0 + v_x >= 0 && v__01 >= 0 && -3 + v__0 + v__01 >= 0 && v__0 >= 0 && -1 + v__01 >= v__0] eval_wise__critedge_in(v__0,v__01,v_x,v_y) -> eval_wise_bb1_in(v__0,1 + v__01,v_x,v_y) [v__01 + -1*v_y >= 0 && v_y >= 0 && v_x + v_y >= 0 && v__01 + v_y >= 0 && v__0 + v_y >= 0 && v__0 + -1*v_x >= 0 && v_x >= 0 && v__01 + v_x >= 0 && v__0 + v_x >= 0 && v__01 >= 0 && -3 + v__0 + v__01 >= 0 && v__0 >= 0 && v__0 >= v__01] eval_wise_bb2_in(v__0,v__01,v_x,v_y) -> eval_wise_stop(v__0,v__01,v_x,v_y) True Signature: {(eval_wise_0,4) ;(eval_wise_1,4) ;(eval_wise_2,4) ;(eval_wise__critedge_in,4) ;(eval_wise_bb0_in,4) ;(eval_wise_bb1_in,4) ;(eval_wise_bb2_in,4) ;(eval_wise_start,4) ;(eval_wise_stop,4)} Rule Graph: [0->{1},1->{2},2->{3},3->{4,5,6},4->{12},5->{12},6->{7,8,9},7->{11},8->{10},9->{12},10->{8,9},11->{7,9} ,12->{}] + Applied Processor: Decompose NoGreedy + Details: We construct a looptree: P: [0,1,2,3,4,5,6,7,8,9,10,11,12] | +- p:[8,10] c: [8,10] | `- p:[7,11] c: [7,11] * Step 4: CloseWith YES + Considered Problem: (Rules: eval_wise_start(v__0,v__01,v_x,v_y) -> eval_wise_bb0_in(v__0,v__01,v_x,v_y) True eval_wise_bb0_in(v__0,v__01,v_x,v_y) -> eval_wise_0(v__0,v__01,v_x,v_y) True eval_wise_0(v__0,v__01,v_x,v_y) -> eval_wise_1(v__0,v__01,v_x,v_y) True eval_wise_1(v__0,v__01,v_x,v_y) -> eval_wise_2(v__0,v__01,v_x,v_y) True eval_wise_2(v__0,v__01,v_x,v_y) -> eval_wise_bb2_in(v__0,v__01,v_x,v_y) [-1 >= v_x] eval_wise_2(v__0,v__01,v_x,v_y) -> eval_wise_bb2_in(v__0,v__01,v_x,v_y) [-1 >= v_y] eval_wise_2(v__0,v__01,v_x,v_y) -> eval_wise_bb1_in(v_x,v_y,v_x,v_y) [v_x >= 0 && v_y >= 0] eval_wise_bb1_in(v__0,v__01,v_x,v_y) -> eval_wise__critedge_in(v__0,v__01,v_x,v_y) [v__01 + -1*v_y >= 0 && v_y >= 0 && v_x + v_y >= 0 && v__01 + v_y >= 0 && v__0 + v_y >= 0 && v__0 + -1*v_x >= 0 && v_x >= 0 && v__01 + v_x >= 0 && v__0 + v_x >= 0 && v__01 >= 0 && v__0 + v__01 >= 0 && v__0 >= 0 && -1 + v__0 + -1*v__01 >= 2] eval_wise_bb1_in(v__0,v__01,v_x,v_y) -> eval_wise__critedge_in(v__0,v__01,v_x,v_y) [v__01 + -1*v_y >= 0 && v_y >= 0 && v_x + v_y >= 0 && v__01 + v_y >= 0 && v__0 + v_y >= 0 && v__0 + -1*v_x >= 0 && v_x >= 0 && v__01 + v_x >= 0 && v__0 + v_x >= 0 && v__01 >= 0 && v__0 + v__01 >= 0 && v__0 >= 0 && -1 + -1*v__0 + v__01 >= 2] eval_wise_bb1_in(v__0,v__01,v_x,v_y) -> eval_wise_bb2_in(v__0,v__01,v_x,v_y) [v__01 + -1*v_y >= 0 && v_y >= 0 && v_x + v_y >= 0 && v__01 + v_y >= 0 && v__0 + v_y >= 0 && v__0 + -1*v_x >= 0 && v_x >= 0 && v__01 + v_x >= 0 && v__0 + v_x >= 0 && v__01 >= 0 && v__0 + v__01 >= 0 && v__0 >= 0 && 2 >= v__0 + -1*v__01 && 2 >= -1*v__0 + v__01] eval_wise__critedge_in(v__0,v__01,v_x,v_y) -> eval_wise_bb1_in(1 + v__0,v__01,v_x,v_y) [v__01 + -1*v_y >= 0 && v_y >= 0 && v_x + v_y >= 0 && v__01 + v_y >= 0 && v__0 + v_y >= 0 && v__0 + -1*v_x >= 0 && v_x >= 0 && v__01 + v_x >= 0 && v__0 + v_x >= 0 && v__01 >= 0 && -3 + v__0 + v__01 >= 0 && v__0 >= 0 && -1 + v__01 >= v__0] eval_wise__critedge_in(v__0,v__01,v_x,v_y) -> eval_wise_bb1_in(v__0,1 + v__01,v_x,v_y) [v__01 + -1*v_y >= 0 && v_y >= 0 && v_x + v_y >= 0 && v__01 + v_y >= 0 && v__0 + v_y >= 0 && v__0 + -1*v_x >= 0 && v_x >= 0 && v__01 + v_x >= 0 && v__0 + v_x >= 0 && v__01 >= 0 && -3 + v__0 + v__01 >= 0 && v__0 >= 0 && v__0 >= v__01] eval_wise_bb2_in(v__0,v__01,v_x,v_y) -> eval_wise_stop(v__0,v__01,v_x,v_y) True Signature: {(eval_wise_0,4) ;(eval_wise_1,4) ;(eval_wise_2,4) ;(eval_wise__critedge_in,4) ;(eval_wise_bb0_in,4) ;(eval_wise_bb1_in,4) ;(eval_wise_bb2_in,4) ;(eval_wise_start,4) ;(eval_wise_stop,4)} Rule Graph: [0->{1},1->{2},2->{3},3->{4,5,6},4->{12},5->{12},6->{7,8,9},7->{11},8->{10},9->{12},10->{8,9},11->{7,9} ,12->{}] ,We construct a looptree: P: [0,1,2,3,4,5,6,7,8,9,10,11,12] | +- p:[8,10] c: [8,10] | `- p:[7,11] c: [7,11]) + Applied Processor: CloseWith True + Details: () YES