NO ### Pre-processing the ITS problem ### Initial linear ITS problem Start location: l9 0: l0 -> l1 : ___rho_1_^0'=___rho_1_^post_1, ___rho_2_^0'=___rho_2_^post_1, c^0'=c^post_1, curr_serv^0'=curr_serv^post_1, resp^0'=resp^post_1, servers^0'=servers^post_1, [ ___rho_1_^0==___rho_1_^post_1 && ___rho_2_^0==___rho_2_^post_1 && c^0==c^post_1 && curr_serv^0==curr_serv^post_1 && resp^0==resp^post_1 && servers^0==servers^post_1 ], cost: 1 6: l1 -> l6 : ___rho_1_^0'=___rho_1_^post_7, ___rho_2_^0'=___rho_2_^post_7, c^0'=c^post_7, curr_serv^0'=curr_serv^post_7, resp^0'=resp^post_7, servers^0'=servers^post_7, [ 1<=curr_serv^0 && ___rho_1_^post_7==___rho_1_^post_7 && ___rho_2_^0==___rho_2_^post_7 && c^0==c^post_7 && curr_serv^0==curr_serv^post_7 && resp^0==resp^post_7 && servers^0==servers^post_7 ], cost: 1 7: l1 -> l4 : ___rho_1_^0'=___rho_1_^post_8, ___rho_2_^0'=___rho_2_^post_8, c^0'=c^post_8, curr_serv^0'=curr_serv^post_8, resp^0'=resp^post_8, servers^0'=servers^post_8, [ curr_serv^0<=0 && ___rho_1_^0==___rho_1_^post_8 && ___rho_2_^0==___rho_2_^post_8 && c^0==c^post_8 && curr_serv^0==curr_serv^post_8 && resp^0==resp^post_8 && servers^0==servers^post_8 ], cost: 1 1: l2 -> l3 : ___rho_1_^0'=___rho_1_^post_2, ___rho_2_^0'=___rho_2_^post_2, c^0'=c^post_2, curr_serv^0'=curr_serv^post_2, resp^0'=resp^post_2, servers^0'=servers^post_2, [ ___rho_1_^0==___rho_1_^post_2 && ___rho_2_^0==___rho_2_^post_2 && c^0==c^post_2 && curr_serv^0==curr_serv^post_2 && resp^0==resp^post_2 && servers^0==servers^post_2 ], cost: 1 2: l4 -> l5 : ___rho_1_^0'=___rho_1_^post_3, ___rho_2_^0'=___rho_2_^post_3, c^0'=c^post_3, curr_serv^0'=curr_serv^post_3, resp^0'=resp^post_3, servers^0'=servers^post_3, [ ___rho_1_^0==___rho_1_^post_3 && ___rho_2_^0==___rho_2_^post_3 && c^0==c^post_3 && curr_serv^0==curr_serv^post_3 && resp^0==resp^post_3 && servers^0==servers^post_3 ], cost: 1 3: l5 -> l4 : ___rho_1_^0'=___rho_1_^post_4, ___rho_2_^0'=___rho_2_^post_4, c^0'=c^post_4, curr_serv^0'=curr_serv^post_4, resp^0'=resp^post_4, servers^0'=servers^post_4, [ ___rho_1_^0==___rho_1_^post_4 && ___rho_2_^0==___rho_2_^post_4 && c^0==c^post_4 && curr_serv^0==curr_serv^post_4 && resp^0==resp^post_4 && servers^0==servers^post_4 ], cost: 1 4: l6 -> l0 : ___rho_1_^0'=___rho_1_^post_5, ___rho_2_^0'=___rho_2_^post_5, c^0'=c^post_5, curr_serv^0'=curr_serv^post_5, resp^0'=resp^post_5, servers^0'=servers^post_5, [ ___rho_1_^0<=0 && 1+c^0<=curr_serv^0 && curr_serv^post_5==-1+curr_serv^0 && ___rho_1_^0==___rho_1_^post_5 && ___rho_2_^0==___rho_2_^post_5 && c^0==c^post_5 && resp^0==resp^post_5 && servers^0==servers^post_5 ], cost: 1 5: l6 -> l0 : ___rho_1_^0'=___rho_1_^post_6, ___rho_2_^0'=___rho_2_^post_6, c^0'=c^post_6, curr_serv^0'=curr_serv^post_6, resp^0'=resp^post_6, servers^0'=servers^post_6, [ 1<=___rho_1_^0 && c^post_6==-1+c^0 && curr_serv^post_6==-1+curr_serv^0 && resp^post_6==1+resp^0 && ___rho_1_^0==___rho_1_^post_6 && ___rho_2_^0==___rho_2_^post_6 && servers^0==servers^post_6 ], cost: 1 8: l7 -> l4 : ___rho_1_^0'=___rho_1_^post_9, ___rho_2_^0'=___rho_2_^post_9, c^0'=c^post_9, curr_serv^0'=curr_serv^post_9, resp^0'=resp^post_9, servers^0'=servers^post_9, [ 6<=c^0 && ___rho_1_^0==___rho_1_^post_9 && ___rho_2_^0==___rho_2_^post_9 && c^0==c^post_9 && curr_serv^0==curr_serv^post_9 && resp^0==resp^post_9 && servers^0==servers^post_9 ], cost: 1 9: l7 -> l0 : ___rho_1_^0'=___rho_1_^post_10, ___rho_2_^0'=___rho_2_^post_10, c^0'=c^post_10, curr_serv^0'=curr_serv^post_10, resp^0'=resp^post_10, servers^0'=servers^post_10, [ c^0<=5 && ___rho_1_^0==___rho_1_^post_10 && ___rho_2_^0==___rho_2_^post_10 && c^0==c^post_10 && curr_serv^0==curr_serv^post_10 && resp^0==resp^post_10 && servers^0==servers^post_10 ], cost: 1 10: l8 -> l7 : ___rho_1_^0'=___rho_1_^post_11, ___rho_2_^0'=___rho_2_^post_11, c^0'=c^post_11, curr_serv^0'=curr_serv^post_11, resp^0'=resp^post_11, servers^0'=servers^post_11, [ ___rho_2_^post_11==___rho_2_^post_11 && c^post_11==___rho_2_^post_11 && 1<=c^post_11 && servers^post_11==4 && resp^post_11==0 && curr_serv^post_11==servers^post_11 && ___rho_1_^0==___rho_1_^post_11 ], cost: 1 11: l9 -> l8 : ___rho_1_^0'=___rho_1_^post_12, ___rho_2_^0'=___rho_2_^post_12, c^0'=c^post_12, curr_serv^0'=curr_serv^post_12, resp^0'=resp^post_12, servers^0'=servers^post_12, [ ___rho_1_^0==___rho_1_^post_12 && ___rho_2_^0==___rho_2_^post_12 && c^0==c^post_12 && curr_serv^0==curr_serv^post_12 && resp^0==resp^post_12 && servers^0==servers^post_12 ], cost: 1 Checking for constant complexity: The following rule is satisfiable with cost >= 1, yielding constant complexity: 11: l9 -> l8 : ___rho_1_^0'=___rho_1_^post_12, ___rho_2_^0'=___rho_2_^post_12, c^0'=c^post_12, curr_serv^0'=curr_serv^post_12, resp^0'=resp^post_12, servers^0'=servers^post_12, [ ___rho_1_^0==___rho_1_^post_12 && ___rho_2_^0==___rho_2_^post_12 && c^0==c^post_12 && curr_serv^0==curr_serv^post_12 && resp^0==resp^post_12 && servers^0==servers^post_12 ], cost: 1 Removed unreachable and leaf rules: Start location: l9 0: l0 -> l1 : ___rho_1_^0'=___rho_1_^post_1, ___rho_2_^0'=___rho_2_^post_1, c^0'=c^post_1, curr_serv^0'=curr_serv^post_1, resp^0'=resp^post_1, servers^0'=servers^post_1, [ ___rho_1_^0==___rho_1_^post_1 && ___rho_2_^0==___rho_2_^post_1 && c^0==c^post_1 && curr_serv^0==curr_serv^post_1 && resp^0==resp^post_1 && servers^0==servers^post_1 ], cost: 1 6: l1 -> l6 : ___rho_1_^0'=___rho_1_^post_7, ___rho_2_^0'=___rho_2_^post_7, c^0'=c^post_7, curr_serv^0'=curr_serv^post_7, resp^0'=resp^post_7, servers^0'=servers^post_7, [ 1<=curr_serv^0 && ___rho_1_^post_7==___rho_1_^post_7 && ___rho_2_^0==___rho_2_^post_7 && c^0==c^post_7 && curr_serv^0==curr_serv^post_7 && resp^0==resp^post_7 && servers^0==servers^post_7 ], cost: 1 7: l1 -> l4 : ___rho_1_^0'=___rho_1_^post_8, ___rho_2_^0'=___rho_2_^post_8, c^0'=c^post_8, curr_serv^0'=curr_serv^post_8, resp^0'=resp^post_8, servers^0'=servers^post_8, [ curr_serv^0<=0 && ___rho_1_^0==___rho_1_^post_8 && ___rho_2_^0==___rho_2_^post_8 && c^0==c^post_8 && curr_serv^0==curr_serv^post_8 && resp^0==resp^post_8 && servers^0==servers^post_8 ], cost: 1 2: l4 -> l5 : ___rho_1_^0'=___rho_1_^post_3, ___rho_2_^0'=___rho_2_^post_3, c^0'=c^post_3, curr_serv^0'=curr_serv^post_3, resp^0'=resp^post_3, servers^0'=servers^post_3, [ ___rho_1_^0==___rho_1_^post_3 && ___rho_2_^0==___rho_2_^post_3 && c^0==c^post_3 && curr_serv^0==curr_serv^post_3 && resp^0==resp^post_3 && servers^0==servers^post_3 ], cost: 1 3: l5 -> l4 : ___rho_1_^0'=___rho_1_^post_4, ___rho_2_^0'=___rho_2_^post_4, c^0'=c^post_4, curr_serv^0'=curr_serv^post_4, resp^0'=resp^post_4, servers^0'=servers^post_4, [ ___rho_1_^0==___rho_1_^post_4 && ___rho_2_^0==___rho_2_^post_4 && c^0==c^post_4 && curr_serv^0==curr_serv^post_4 && resp^0==resp^post_4 && servers^0==servers^post_4 ], cost: 1 4: l6 -> l0 : ___rho_1_^0'=___rho_1_^post_5, ___rho_2_^0'=___rho_2_^post_5, c^0'=c^post_5, curr_serv^0'=curr_serv^post_5, resp^0'=resp^post_5, servers^0'=servers^post_5, [ ___rho_1_^0<=0 && 1+c^0<=curr_serv^0 && curr_serv^post_5==-1+curr_serv^0 && ___rho_1_^0==___rho_1_^post_5 && ___rho_2_^0==___rho_2_^post_5 && c^0==c^post_5 && resp^0==resp^post_5 && servers^0==servers^post_5 ], cost: 1 5: l6 -> l0 : ___rho_1_^0'=___rho_1_^post_6, ___rho_2_^0'=___rho_2_^post_6, c^0'=c^post_6, curr_serv^0'=curr_serv^post_6, resp^0'=resp^post_6, servers^0'=servers^post_6, [ 1<=___rho_1_^0 && c^post_6==-1+c^0 && curr_serv^post_6==-1+curr_serv^0 && resp^post_6==1+resp^0 && ___rho_1_^0==___rho_1_^post_6 && ___rho_2_^0==___rho_2_^post_6 && servers^0==servers^post_6 ], cost: 1 8: l7 -> l4 : ___rho_1_^0'=___rho_1_^post_9, ___rho_2_^0'=___rho_2_^post_9, c^0'=c^post_9, curr_serv^0'=curr_serv^post_9, resp^0'=resp^post_9, servers^0'=servers^post_9, [ 6<=c^0 && ___rho_1_^0==___rho_1_^post_9 && ___rho_2_^0==___rho_2_^post_9 && c^0==c^post_9 && curr_serv^0==curr_serv^post_9 && resp^0==resp^post_9 && servers^0==servers^post_9 ], cost: 1 9: l7 -> l0 : ___rho_1_^0'=___rho_1_^post_10, ___rho_2_^0'=___rho_2_^post_10, c^0'=c^post_10, curr_serv^0'=curr_serv^post_10, resp^0'=resp^post_10, servers^0'=servers^post_10, [ c^0<=5 && ___rho_1_^0==___rho_1_^post_10 && ___rho_2_^0==___rho_2_^post_10 && c^0==c^post_10 && curr_serv^0==curr_serv^post_10 && resp^0==resp^post_10 && servers^0==servers^post_10 ], cost: 1 10: l8 -> l7 : ___rho_1_^0'=___rho_1_^post_11, ___rho_2_^0'=___rho_2_^post_11, c^0'=c^post_11, curr_serv^0'=curr_serv^post_11, resp^0'=resp^post_11, servers^0'=servers^post_11, [ ___rho_2_^post_11==___rho_2_^post_11 && c^post_11==___rho_2_^post_11 && 1<=c^post_11 && servers^post_11==4 && resp^post_11==0 && curr_serv^post_11==servers^post_11 && ___rho_1_^0==___rho_1_^post_11 ], cost: 1 11: l9 -> l8 : ___rho_1_^0'=___rho_1_^post_12, ___rho_2_^0'=___rho_2_^post_12, c^0'=c^post_12, curr_serv^0'=curr_serv^post_12, resp^0'=resp^post_12, servers^0'=servers^post_12, [ ___rho_1_^0==___rho_1_^post_12 && ___rho_2_^0==___rho_2_^post_12 && c^0==c^post_12 && curr_serv^0==curr_serv^post_12 && resp^0==resp^post_12 && servers^0==servers^post_12 ], cost: 1 Simplified all rules, resulting in: Start location: l9 0: l0 -> l1 : [], cost: 1 6: l1 -> l6 : ___rho_1_^0'=___rho_1_^post_7, [ 1<=curr_serv^0 ], cost: 1 7: l1 -> l4 : [ curr_serv^0<=0 ], cost: 1 2: l4 -> l5 : [], cost: 1 3: l5 -> l4 : [], cost: 1 4: l6 -> l0 : curr_serv^0'=-1+curr_serv^0, [ ___rho_1_^0<=0 && 1+c^0<=curr_serv^0 ], cost: 1 5: l6 -> l0 : c^0'=-1+c^0, curr_serv^0'=-1+curr_serv^0, resp^0'=1+resp^0, [ 1<=___rho_1_^0 ], cost: 1 8: l7 -> l4 : [ 6<=c^0 ], cost: 1 9: l7 -> l0 : [ c^0<=5 ], cost: 1 10: l8 -> l7 : ___rho_2_^0'=___rho_2_^post_11, c^0'=___rho_2_^post_11, curr_serv^0'=4, resp^0'=0, servers^0'=4, [ 1<=___rho_2_^post_11 ], cost: 1 11: l9 -> l8 : [], cost: 1 ### Simplification by acceleration and chaining ### Eliminated locations (on linear paths): Start location: l9 0: l0 -> l1 : [], cost: 1 6: l1 -> l6 : ___rho_1_^0'=___rho_1_^post_7, [ 1<=curr_serv^0 ], cost: 1 7: l1 -> l4 : [ curr_serv^0<=0 ], cost: 1 13: l4 -> l4 : [], cost: 2 4: l6 -> l0 : curr_serv^0'=-1+curr_serv^0, [ ___rho_1_^0<=0 && 1+c^0<=curr_serv^0 ], cost: 1 5: l6 -> l0 : c^0'=-1+c^0, curr_serv^0'=-1+curr_serv^0, resp^0'=1+resp^0, [ 1<=___rho_1_^0 ], cost: 1 8: l7 -> l4 : [ 6<=c^0 ], cost: 1 9: l7 -> l0 : [ c^0<=5 ], cost: 1 12: l9 -> l7 : ___rho_2_^0'=___rho_2_^post_11, c^0'=___rho_2_^post_11, curr_serv^0'=4, resp^0'=0, servers^0'=4, [ 1<=___rho_2_^post_11 ], cost: 2 Accelerating simple loops of location 4. Accelerating the following rules: 13: l4 -> l4 : [], cost: 2 Accelerated rule 13 with non-termination, yielding the new rule 14. [accelerate] Nesting with 0 inner and 0 outer candidates Removing the simple loops: 13. Accelerated all simple loops using metering functions (where possible): Start location: l9 0: l0 -> l1 : [], cost: 1 6: l1 -> l6 : ___rho_1_^0'=___rho_1_^post_7, [ 1<=curr_serv^0 ], cost: 1 7: l1 -> l4 : [ curr_serv^0<=0 ], cost: 1 14: l4 -> [10] : [], cost: NONTERM 4: l6 -> l0 : curr_serv^0'=-1+curr_serv^0, [ ___rho_1_^0<=0 && 1+c^0<=curr_serv^0 ], cost: 1 5: l6 -> l0 : c^0'=-1+c^0, curr_serv^0'=-1+curr_serv^0, resp^0'=1+resp^0, [ 1<=___rho_1_^0 ], cost: 1 8: l7 -> l4 : [ 6<=c^0 ], cost: 1 9: l7 -> l0 : [ c^0<=5 ], cost: 1 12: l9 -> l7 : ___rho_2_^0'=___rho_2_^post_11, c^0'=___rho_2_^post_11, curr_serv^0'=4, resp^0'=0, servers^0'=4, [ 1<=___rho_2_^post_11 ], cost: 2 Chained accelerated rules (with incoming rules): Start location: l9 0: l0 -> l1 : [], cost: 1 6: l1 -> l6 : ___rho_1_^0'=___rho_1_^post_7, [ 1<=curr_serv^0 ], cost: 1 7: l1 -> l4 : [ curr_serv^0<=0 ], cost: 1 15: l1 -> [10] : [ curr_serv^0<=0 ], cost: NONTERM 4: l6 -> l0 : curr_serv^0'=-1+curr_serv^0, [ ___rho_1_^0<=0 && 1+c^0<=curr_serv^0 ], cost: 1 5: l6 -> l0 : c^0'=-1+c^0, curr_serv^0'=-1+curr_serv^0, resp^0'=1+resp^0, [ 1<=___rho_1_^0 ], cost: 1 8: l7 -> l4 : [ 6<=c^0 ], cost: 1 9: l7 -> l0 : [ c^0<=5 ], cost: 1 16: l7 -> [10] : [ 6<=c^0 ], cost: NONTERM 12: l9 -> l7 : ___rho_2_^0'=___rho_2_^post_11, c^0'=___rho_2_^post_11, curr_serv^0'=4, resp^0'=0, servers^0'=4, [ 1<=___rho_2_^post_11 ], cost: 2 Removed unreachable locations (and leaf rules with constant cost): Start location: l9 0: l0 -> l1 : [], cost: 1 6: l1 -> l6 : ___rho_1_^0'=___rho_1_^post_7, [ 1<=curr_serv^0 ], cost: 1 15: l1 -> [10] : [ curr_serv^0<=0 ], cost: NONTERM 4: l6 -> l0 : curr_serv^0'=-1+curr_serv^0, [ ___rho_1_^0<=0 && 1+c^0<=curr_serv^0 ], cost: 1 5: l6 -> l0 : c^0'=-1+c^0, curr_serv^0'=-1+curr_serv^0, resp^0'=1+resp^0, [ 1<=___rho_1_^0 ], cost: 1 9: l7 -> l0 : [ c^0<=5 ], cost: 1 16: l7 -> [10] : [ 6<=c^0 ], cost: NONTERM 12: l9 -> l7 : ___rho_2_^0'=___rho_2_^post_11, c^0'=___rho_2_^post_11, curr_serv^0'=4, resp^0'=0, servers^0'=4, [ 1<=___rho_2_^post_11 ], cost: 2 Eliminated locations (on tree-shaped paths): Start location: l9 19: l0 -> l6 : ___rho_1_^0'=___rho_1_^post_7, [ 1<=curr_serv^0 ], cost: 2 20: l0 -> [10] : [ curr_serv^0<=0 ], cost: NONTERM 4: l6 -> l0 : curr_serv^0'=-1+curr_serv^0, [ ___rho_1_^0<=0 && 1+c^0<=curr_serv^0 ], cost: 1 5: l6 -> l0 : c^0'=-1+c^0, curr_serv^0'=-1+curr_serv^0, resp^0'=1+resp^0, [ 1<=___rho_1_^0 ], cost: 1 17: l9 -> l0 : ___rho_2_^0'=___rho_2_^post_11, c^0'=___rho_2_^post_11, curr_serv^0'=4, resp^0'=0, servers^0'=4, [ 1<=___rho_2_^post_11 && ___rho_2_^post_11<=5 ], cost: 3 18: l9 -> [10] : [ 6<=___rho_2_^post_11 ], cost: NONTERM Eliminated locations (on tree-shaped paths): Start location: l9 20: l0 -> [10] : [ curr_serv^0<=0 ], cost: NONTERM 21: l0 -> l0 : ___rho_1_^0'=___rho_1_^post_7, curr_serv^0'=-1+curr_serv^0, [ 1<=curr_serv^0 && ___rho_1_^post_7<=0 && 1+c^0<=curr_serv^0 ], cost: 3 22: l0 -> l0 : ___rho_1_^0'=___rho_1_^post_7, c^0'=-1+c^0, curr_serv^0'=-1+curr_serv^0, resp^0'=1+resp^0, [ 1<=curr_serv^0 && 1<=___rho_1_^post_7 ], cost: 3 17: l9 -> l0 : ___rho_2_^0'=___rho_2_^post_11, c^0'=___rho_2_^post_11, curr_serv^0'=4, resp^0'=0, servers^0'=4, [ 1<=___rho_2_^post_11 && ___rho_2_^post_11<=5 ], cost: 3 18: l9 -> [10] : [ 6<=___rho_2_^post_11 ], cost: NONTERM Accelerating simple loops of location 0. Accelerating the following rules: 21: l0 -> l0 : ___rho_1_^0'=___rho_1_^post_7, curr_serv^0'=-1+curr_serv^0, [ 1<=curr_serv^0 && ___rho_1_^post_7<=0 && 1+c^0<=curr_serv^0 ], cost: 3 22: l0 -> l0 : ___rho_1_^0'=___rho_1_^post_7, c^0'=-1+c^0, curr_serv^0'=-1+curr_serv^0, resp^0'=1+resp^0, [ 1<=curr_serv^0 && 1<=___rho_1_^post_7 ], cost: 3 Accelerated rule 21 with backward acceleration, yielding the new rule 23. Accelerated rule 21 with backward acceleration, yielding the new rule 24. Accelerated rule 22 with backward acceleration, yielding the new rule 25. [accelerate] Nesting with 3 inner and 2 outer candidates Removing the simple loops: 21 22. Accelerated all simple loops using metering functions (where possible): Start location: l9 20: l0 -> [10] : [ curr_serv^0<=0 ], cost: NONTERM 23: l0 -> l0 : ___rho_1_^0'=___rho_1_^post_7, curr_serv^0'=0, [ ___rho_1_^post_7<=0 && curr_serv^0>=1 && 1+c^0<=1 ], cost: 3*curr_serv^0 24: l0 -> l0 : ___rho_1_^0'=___rho_1_^post_7, curr_serv^0'=c^0, [ ___rho_1_^post_7<=0 && -c^0+curr_serv^0>=1 && 1<=1+c^0 ], cost: -3*c^0+3*curr_serv^0 25: l0 -> l0 : ___rho_1_^0'=___rho_1_^post_7, c^0'=c^0-curr_serv^0, curr_serv^0'=0, resp^0'=resp^0+curr_serv^0, [ 1<=___rho_1_^post_7 && curr_serv^0>=1 ], cost: 3*curr_serv^0 17: l9 -> l0 : ___rho_2_^0'=___rho_2_^post_11, c^0'=___rho_2_^post_11, curr_serv^0'=4, resp^0'=0, servers^0'=4, [ 1<=___rho_2_^post_11 && ___rho_2_^post_11<=5 ], cost: 3 18: l9 -> [10] : [ 6<=___rho_2_^post_11 ], cost: NONTERM Chained accelerated rules (with incoming rules): Start location: l9 20: l0 -> [10] : [ curr_serv^0<=0 ], cost: NONTERM 17: l9 -> l0 : ___rho_2_^0'=___rho_2_^post_11, c^0'=___rho_2_^post_11, curr_serv^0'=4, resp^0'=0, servers^0'=4, [ 1<=___rho_2_^post_11 && ___rho_2_^post_11<=5 ], cost: 3 18: l9 -> [10] : [ 6<=___rho_2_^post_11 ], cost: NONTERM 26: l9 -> l0 : ___rho_1_^0'=___rho_1_^post_7, ___rho_2_^0'=___rho_2_^post_11, c^0'=___rho_2_^post_11, curr_serv^0'=___rho_2_^post_11, resp^0'=0, servers^0'=4, [ 1<=___rho_2_^post_11 && ___rho_1_^post_7<=0 && 4-___rho_2_^post_11>=1 ], cost: 15-3*___rho_2_^post_11 27: l9 -> l0 : ___rho_1_^0'=___rho_1_^post_7, ___rho_2_^0'=___rho_2_^post_11, c^0'=-4+___rho_2_^post_11, curr_serv^0'=0, resp^0'=4, servers^0'=4, [ 1<=___rho_2_^post_11 && ___rho_2_^post_11<=5 && 1<=___rho_1_^post_7 ], cost: 15 Eliminated locations (on tree-shaped paths): Start location: l9 18: l9 -> [10] : [ 6<=___rho_2_^post_11 ], cost: NONTERM 28: l9 -> [10] : [ 1<=___rho_2_^post_11 && ___rho_2_^post_11<=5 && 1<=___rho_1_^post_7 ], cost: NONTERM 29: l9 -> [12] : [ 1<=___rho_2_^post_11 && ___rho_1_^post_7<=0 && 4-___rho_2_^post_11>=1 ], cost: 15-3*___rho_2_^post_11 ### Computing asymptotic complexity ### Fully simplified ITS problem Start location: l9 18: l9 -> [10] : [ 6<=___rho_2_^post_11 ], cost: NONTERM 28: l9 -> [10] : [ 1<=___rho_2_^post_11 && ___rho_2_^post_11<=5 && 1<=___rho_1_^post_7 ], cost: NONTERM 29: l9 -> [12] : [ 1<=___rho_2_^post_11 && ___rho_1_^post_7<=0 && 4-___rho_2_^post_11>=1 ], cost: 15-3*___rho_2_^post_11 Computing asymptotic complexity for rule 18 Guard is satisfiable, yielding nontermination Resulting cost NONTERM has complexity: Nonterm Found new complexity Nonterm. Obtained the following overall complexity (w.r.t. the length of the input n): Complexity: Nonterm Cpx degree: Nonterm Solved cost: NONTERM Rule cost: NONTERM Rule guard: [ 6<=___rho_2_^post_11 ] NO