YES * Step 1: UnsatPaths YES + Considered Problem: Rules: 0. eval_aaron2_start(v__01,v__02,v_3,v_tx,v_x,v_y) -> eval_aaron2_bb0_in(v__01,v__02,v_3,v_tx,v_x,v_y) True (1,1) 1. eval_aaron2_bb0_in(v__01,v__02,v_3,v_tx,v_x,v_y) -> eval_aaron2_0(v__01,v__02,v_3,v_tx,v_x,v_y) True (?,1) 2. eval_aaron2_0(v__01,v__02,v_3,v_tx,v_x,v_y) -> eval_aaron2_1(v__01,v__02,v_3,v_tx,v_x,v_y) True (?,1) 3. eval_aaron2_1(v__01,v__02,v_3,v_tx,v_x,v_y) -> eval_aaron2_2(v__01,v__02,v_3,v_tx,v_x,v_y) True (?,1) 4. eval_aaron2_2(v__01,v__02,v_3,v_tx,v_x,v_y) -> eval_aaron2_3(v__01,v__02,v_3,v_tx,v_x,v_y) True (?,1) 5. eval_aaron2_3(v__01,v__02,v_3,v_tx,v_x,v_y) -> eval_aaron2_bb1_in(v_x,v_y,v_3,v_tx,v_x,v_y) [v_tx >= 0] (?,1) 6. eval_aaron2_3(v__01,v__02,v_3,v_tx,v_x,v_y) -> eval_aaron2_bb5_in(v__01,v__02,v_3,v_tx,v_x,v_y) [-1 >= v_tx] (?,1) 7. eval_aaron2_bb1_in(v__01,v__02,v_3,v_tx,v_x,v_y) -> eval_aaron2_bb5_in(v__01,v__02,v_3,v_tx,v_x,v_y) [-1 + v__02 >= v__01] (?,1) 8. eval_aaron2_bb1_in(v__01,v__02,v_3,v_tx,v_x,v_y) -> eval_aaron2_bb5_in(v__01,v__02,v_3,v_tx,v_x,v_y) [-1 >= v_tx] (?,1) 9. eval_aaron2_bb1_in(v__01,v__02,v_3,v_tx,v_x,v_y) -> eval_aaron2_bb2_in(v__01,v__02,v_3,v_tx,v_x,v_y) [v__01 >= v__02 && v_tx >= 0] (?,1) 10. eval_aaron2_bb2_in(v__01,v__02,v_3,v_tx,v_x,v_y) -> eval_aaron2_4(v__01,v__02,v_3,v_tx,v_x,v_y) True (?,1) 11. eval_aaron2_4(v__01,v__02,v_3,v_tx,v_x,v_y) -> eval_aaron2_5(v__01,v__02,nondef_0,v_tx,v_x,v_y) True (?,1) 12. eval_aaron2_5(v__01,v__02,v_3,v_tx,v_x,v_y) -> eval_aaron2_bb3_in(v__01,v__02,v_3,v_tx,v_x,v_y) [-1 + v_3 >= 0] (?,1) 13. eval_aaron2_5(v__01,v__02,v_3,v_tx,v_x,v_y) -> eval_aaron2_bb4_in(v__01,v__02,v_3,v_tx,v_x,v_y) [0 >= v_3] (?,1) 14. eval_aaron2_bb3_in(v__01,v__02,v_3,v_tx,v_x,v_y) -> eval_aaron2_bb1_in(-1 + v__01 + -1*v_tx,v__02,v_3,v_tx,v_x,v_y) True (?,1) 15. eval_aaron2_bb4_in(v__01,v__02,v_3,v_tx,v_x,v_y) -> eval_aaron2_bb1_in(v__01,1 + v__02 + v_tx,v_3,v_tx,v_x,v_y) True (?,1) 16. eval_aaron2_bb5_in(v__01,v__02,v_3,v_tx,v_x,v_y) -> eval_aaron2_stop(v__01,v__02,v_3,v_tx,v_x,v_y) True (?,1) Signature: {(eval_aaron2_0,6) ;(eval_aaron2_1,6) ;(eval_aaron2_2,6) ;(eval_aaron2_3,6) ;(eval_aaron2_4,6) ;(eval_aaron2_5,6) ;(eval_aaron2_bb0_in,6) ;(eval_aaron2_bb1_in,6) ;(eval_aaron2_bb2_in,6) ;(eval_aaron2_bb3_in,6) ;(eval_aaron2_bb4_in,6) ;(eval_aaron2_bb5_in,6) ;(eval_aaron2_start,6) ;(eval_aaron2_stop,6)} Flow Graph: [0->{1},1->{2},2->{3},3->{4},4->{5,6},5->{7,8,9},6->{16},7->{16},8->{16},9->{10},10->{11},11->{12,13} ,12->{14},13->{15},14->{7,8,9},15->{7,8,9},16->{}] + Applied Processor: UnsatPaths + Details: We remove following edges from the transition graph: [(5,8)] * Step 2: FromIts YES + Considered Problem: Rules: 0. eval_aaron2_start(v__01,v__02,v_3,v_tx,v_x,v_y) -> eval_aaron2_bb0_in(v__01,v__02,v_3,v_tx,v_x,v_y) True (1,1) 1. eval_aaron2_bb0_in(v__01,v__02,v_3,v_tx,v_x,v_y) -> eval_aaron2_0(v__01,v__02,v_3,v_tx,v_x,v_y) True (?,1) 2. eval_aaron2_0(v__01,v__02,v_3,v_tx,v_x,v_y) -> eval_aaron2_1(v__01,v__02,v_3,v_tx,v_x,v_y) True (?,1) 3. eval_aaron2_1(v__01,v__02,v_3,v_tx,v_x,v_y) -> eval_aaron2_2(v__01,v__02,v_3,v_tx,v_x,v_y) True (?,1) 4. eval_aaron2_2(v__01,v__02,v_3,v_tx,v_x,v_y) -> eval_aaron2_3(v__01,v__02,v_3,v_tx,v_x,v_y) True (?,1) 5. eval_aaron2_3(v__01,v__02,v_3,v_tx,v_x,v_y) -> eval_aaron2_bb1_in(v_x,v_y,v_3,v_tx,v_x,v_y) [v_tx >= 0] (?,1) 6. eval_aaron2_3(v__01,v__02,v_3,v_tx,v_x,v_y) -> eval_aaron2_bb5_in(v__01,v__02,v_3,v_tx,v_x,v_y) [-1 >= v_tx] (?,1) 7. eval_aaron2_bb1_in(v__01,v__02,v_3,v_tx,v_x,v_y) -> eval_aaron2_bb5_in(v__01,v__02,v_3,v_tx,v_x,v_y) [-1 + v__02 >= v__01] (?,1) 8. eval_aaron2_bb1_in(v__01,v__02,v_3,v_tx,v_x,v_y) -> eval_aaron2_bb5_in(v__01,v__02,v_3,v_tx,v_x,v_y) [-1 >= v_tx] (?,1) 9. eval_aaron2_bb1_in(v__01,v__02,v_3,v_tx,v_x,v_y) -> eval_aaron2_bb2_in(v__01,v__02,v_3,v_tx,v_x,v_y) [v__01 >= v__02 && v_tx >= 0] (?,1) 10. eval_aaron2_bb2_in(v__01,v__02,v_3,v_tx,v_x,v_y) -> eval_aaron2_4(v__01,v__02,v_3,v_tx,v_x,v_y) True (?,1) 11. eval_aaron2_4(v__01,v__02,v_3,v_tx,v_x,v_y) -> eval_aaron2_5(v__01,v__02,nondef_0,v_tx,v_x,v_y) True (?,1) 12. eval_aaron2_5(v__01,v__02,v_3,v_tx,v_x,v_y) -> eval_aaron2_bb3_in(v__01,v__02,v_3,v_tx,v_x,v_y) [-1 + v_3 >= 0] (?,1) 13. eval_aaron2_5(v__01,v__02,v_3,v_tx,v_x,v_y) -> eval_aaron2_bb4_in(v__01,v__02,v_3,v_tx,v_x,v_y) [0 >= v_3] (?,1) 14. eval_aaron2_bb3_in(v__01,v__02,v_3,v_tx,v_x,v_y) -> eval_aaron2_bb1_in(-1 + v__01 + -1*v_tx,v__02,v_3,v_tx,v_x,v_y) True (?,1) 15. eval_aaron2_bb4_in(v__01,v__02,v_3,v_tx,v_x,v_y) -> eval_aaron2_bb1_in(v__01,1 + v__02 + v_tx,v_3,v_tx,v_x,v_y) True (?,1) 16. eval_aaron2_bb5_in(v__01,v__02,v_3,v_tx,v_x,v_y) -> eval_aaron2_stop(v__01,v__02,v_3,v_tx,v_x,v_y) True (?,1) Signature: {(eval_aaron2_0,6) ;(eval_aaron2_1,6) ;(eval_aaron2_2,6) ;(eval_aaron2_3,6) ;(eval_aaron2_4,6) ;(eval_aaron2_5,6) ;(eval_aaron2_bb0_in,6) ;(eval_aaron2_bb1_in,6) ;(eval_aaron2_bb2_in,6) ;(eval_aaron2_bb3_in,6) ;(eval_aaron2_bb4_in,6) ;(eval_aaron2_bb5_in,6) ;(eval_aaron2_start,6) ;(eval_aaron2_stop,6)} Flow Graph: [0->{1},1->{2},2->{3},3->{4},4->{5,6},5->{7,9},6->{16},7->{16},8->{16},9->{10},10->{11},11->{12,13} ,12->{14},13->{15},14->{7,8,9},15->{7,8,9},16->{}] + Applied Processor: FromIts + Details: () * Step 3: Decompose YES + Considered Problem: Rules: eval_aaron2_start(v__01,v__02,v_3,v_tx,v_x,v_y) -> eval_aaron2_bb0_in(v__01,v__02,v_3,v_tx,v_x ,v_y) True eval_aaron2_bb0_in(v__01,v__02,v_3,v_tx,v_x,v_y) -> eval_aaron2_0(v__01,v__02,v_3,v_tx,v_x ,v_y) True eval_aaron2_0(v__01,v__02,v_3,v_tx,v_x,v_y) -> eval_aaron2_1(v__01,v__02,v_3,v_tx,v_x ,v_y) True eval_aaron2_1(v__01,v__02,v_3,v_tx,v_x,v_y) -> eval_aaron2_2(v__01,v__02,v_3,v_tx,v_x ,v_y) True eval_aaron2_2(v__01,v__02,v_3,v_tx,v_x,v_y) -> eval_aaron2_3(v__01,v__02,v_3,v_tx,v_x ,v_y) True eval_aaron2_3(v__01,v__02,v_3,v_tx,v_x,v_y) -> eval_aaron2_bb1_in(v_x,v_y,v_3,v_tx,v_x ,v_y) [v_tx >= 0] eval_aaron2_3(v__01,v__02,v_3,v_tx,v_x,v_y) -> eval_aaron2_bb5_in(v__01,v__02,v_3,v_tx,v_x ,v_y) [-1 >= v_tx] eval_aaron2_bb1_in(v__01,v__02,v_3,v_tx,v_x,v_y) -> eval_aaron2_bb5_in(v__01,v__02,v_3,v_tx,v_x ,v_y) [-1 + v__02 >= v__01] eval_aaron2_bb1_in(v__01,v__02,v_3,v_tx,v_x,v_y) -> eval_aaron2_bb5_in(v__01,v__02,v_3,v_tx,v_x ,v_y) [-1 >= v_tx] eval_aaron2_bb1_in(v__01,v__02,v_3,v_tx,v_x,v_y) -> eval_aaron2_bb2_in(v__01,v__02,v_3,v_tx,v_x ,v_y) [v__01 >= v__02 && v_tx >= 0] eval_aaron2_bb2_in(v__01,v__02,v_3,v_tx,v_x,v_y) -> eval_aaron2_4(v__01,v__02,v_3,v_tx,v_x ,v_y) True eval_aaron2_4(v__01,v__02,v_3,v_tx,v_x,v_y) -> eval_aaron2_5(v__01,v__02,nondef_0,v_tx,v_x ,v_y) True eval_aaron2_5(v__01,v__02,v_3,v_tx,v_x,v_y) -> eval_aaron2_bb3_in(v__01,v__02,v_3,v_tx,v_x ,v_y) [-1 + v_3 >= 0] eval_aaron2_5(v__01,v__02,v_3,v_tx,v_x,v_y) -> eval_aaron2_bb4_in(v__01,v__02,v_3,v_tx,v_x ,v_y) [0 >= v_3] eval_aaron2_bb3_in(v__01,v__02,v_3,v_tx,v_x,v_y) -> eval_aaron2_bb1_in(-1 + v__01 + -1*v_tx,v__02,v_3,v_tx ,v_x ,v_y) True eval_aaron2_bb4_in(v__01,v__02,v_3,v_tx,v_x,v_y) -> eval_aaron2_bb1_in(v__01,1 + v__02 + v_tx,v_3,v_tx,v_x ,v_y) True eval_aaron2_bb5_in(v__01,v__02,v_3,v_tx,v_x,v_y) -> eval_aaron2_stop(v__01,v__02,v_3,v_tx,v_x ,v_y) True Signature: {(eval_aaron2_0,6) ;(eval_aaron2_1,6) ;(eval_aaron2_2,6) ;(eval_aaron2_3,6) ;(eval_aaron2_4,6) ;(eval_aaron2_5,6) ;(eval_aaron2_bb0_in,6) ;(eval_aaron2_bb1_in,6) ;(eval_aaron2_bb2_in,6) ;(eval_aaron2_bb3_in,6) ;(eval_aaron2_bb4_in,6) ;(eval_aaron2_bb5_in,6) ;(eval_aaron2_start,6) ;(eval_aaron2_stop,6)} Rule Graph: [0->{1},1->{2},2->{3},3->{4},4->{5,6},5->{7,9},6->{16},7->{16},8->{16},9->{10},10->{11},11->{12,13} ,12->{14},13->{15},14->{7,8,9},15->{7,8,9},16->{}] + Applied Processor: Decompose NoGreedy + Details: We construct a looptree: P: [0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16] | `- p:[9,14,12,11,10,15,13] c: [9,10,11,12,13,14,15] * Step 4: CloseWith YES + Considered Problem: (Rules: eval_aaron2_start(v__01,v__02,v_3,v_tx,v_x,v_y) -> eval_aaron2_bb0_in(v__01,v__02,v_3,v_tx,v_x ,v_y) True eval_aaron2_bb0_in(v__01,v__02,v_3,v_tx,v_x,v_y) -> eval_aaron2_0(v__01,v__02,v_3,v_tx,v_x ,v_y) True eval_aaron2_0(v__01,v__02,v_3,v_tx,v_x,v_y) -> eval_aaron2_1(v__01,v__02,v_3,v_tx,v_x ,v_y) True eval_aaron2_1(v__01,v__02,v_3,v_tx,v_x,v_y) -> eval_aaron2_2(v__01,v__02,v_3,v_tx,v_x ,v_y) True eval_aaron2_2(v__01,v__02,v_3,v_tx,v_x,v_y) -> eval_aaron2_3(v__01,v__02,v_3,v_tx,v_x ,v_y) True eval_aaron2_3(v__01,v__02,v_3,v_tx,v_x,v_y) -> eval_aaron2_bb1_in(v_x,v_y,v_3,v_tx,v_x ,v_y) [v_tx >= 0] eval_aaron2_3(v__01,v__02,v_3,v_tx,v_x,v_y) -> eval_aaron2_bb5_in(v__01,v__02,v_3,v_tx,v_x ,v_y) [-1 >= v_tx] eval_aaron2_bb1_in(v__01,v__02,v_3,v_tx,v_x,v_y) -> eval_aaron2_bb5_in(v__01,v__02,v_3,v_tx,v_x ,v_y) [-1 + v__02 >= v__01] eval_aaron2_bb1_in(v__01,v__02,v_3,v_tx,v_x,v_y) -> eval_aaron2_bb5_in(v__01,v__02,v_3,v_tx,v_x ,v_y) [-1 >= v_tx] eval_aaron2_bb1_in(v__01,v__02,v_3,v_tx,v_x,v_y) -> eval_aaron2_bb2_in(v__01,v__02,v_3,v_tx,v_x ,v_y) [v__01 >= v__02 && v_tx >= 0] eval_aaron2_bb2_in(v__01,v__02,v_3,v_tx,v_x,v_y) -> eval_aaron2_4(v__01,v__02,v_3,v_tx,v_x ,v_y) True eval_aaron2_4(v__01,v__02,v_3,v_tx,v_x,v_y) -> eval_aaron2_5(v__01,v__02,nondef_0,v_tx,v_x ,v_y) True eval_aaron2_5(v__01,v__02,v_3,v_tx,v_x,v_y) -> eval_aaron2_bb3_in(v__01,v__02,v_3,v_tx,v_x ,v_y) [-1 + v_3 >= 0] eval_aaron2_5(v__01,v__02,v_3,v_tx,v_x,v_y) -> eval_aaron2_bb4_in(v__01,v__02,v_3,v_tx,v_x ,v_y) [0 >= v_3] eval_aaron2_bb3_in(v__01,v__02,v_3,v_tx,v_x,v_y) -> eval_aaron2_bb1_in(-1 + v__01 + -1*v_tx,v__02,v_3,v_tx ,v_x ,v_y) True eval_aaron2_bb4_in(v__01,v__02,v_3,v_tx,v_x,v_y) -> eval_aaron2_bb1_in(v__01,1 + v__02 + v_tx,v_3,v_tx,v_x ,v_y) True eval_aaron2_bb5_in(v__01,v__02,v_3,v_tx,v_x,v_y) -> eval_aaron2_stop(v__01,v__02,v_3,v_tx,v_x ,v_y) True Signature: {(eval_aaron2_0,6) ;(eval_aaron2_1,6) ;(eval_aaron2_2,6) ;(eval_aaron2_3,6) ;(eval_aaron2_4,6) ;(eval_aaron2_5,6) ;(eval_aaron2_bb0_in,6) ;(eval_aaron2_bb1_in,6) ;(eval_aaron2_bb2_in,6) ;(eval_aaron2_bb3_in,6) ;(eval_aaron2_bb4_in,6) ;(eval_aaron2_bb5_in,6) ;(eval_aaron2_start,6) ;(eval_aaron2_stop,6)} Rule Graph: [0->{1},1->{2},2->{3},3->{4},4->{5,6},5->{7,9},6->{16},7->{16},8->{16},9->{10},10->{11},11->{12,13} ,12->{14},13->{15},14->{7,8,9},15->{7,8,9},16->{}] ,We construct a looptree: P: [0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16] | `- p:[9,14,12,11,10,15,13] c: [9,10,11,12,13,14,15]) + Applied Processor: CloseWith True + Details: () YES