/export/starexec/sandbox2/solver/bin/starexec_run_Default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- NO Input TRS: 1: nats() -> adx(zeros()) 2: zeros() -> cons(0(),zeros()) 3: incr(cons(X,Y)) -> cons(s(X),incr(Y)) 4: adx(cons(X,Y)) -> incr(cons(X,adx(Y))) 5: hd(cons(X,Y)) -> X 6: tl(cons(X,Y)) -> Y Number of strict rules: 6 Direct POLO(bPol) ... removes: 1 5 6 incr w: x1 hd w: x1 + 1 s w: x1 adx w: x1 + 1 zeros w: 1 0 w: 0 tl w: x1 + 1 nats w: 3 cons w: x1 + x2 Number of strict rules: 3 Direct POLO(bPol) ... failed. Uncurrying incr 2: zeros() -> cons(0(),zeros()) 3: incr^1_cons(X,Y) -> cons(s(X),incr(Y)) 4: adx(cons(X,Y)) -> incr^1_cons(X,adx(Y)) 7: incr(cons(_1,_2)) ->= incr^1_cons(_1,_2) Number of strict rules: 3 Direct POLO(bPol) ... failed. Dependency Pairs: #1: #zeros() -> #zeros() #2: #incr(cons(_1,_2)) ->? #incr^1_cons(_1,_2) #3: #incr^1_cons(X,Y) -> #incr(Y) #4: #adx(cons(X,Y)) -> #incr^1_cons(X,adx(Y)) #5: #adx(cons(X,Y)) -> #adx(Y) Number of SCCs: 3, DPs: 4 SCC { #1 } POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... failed. Finding a loop... found. #zeros() -#1-> #zeros() --->* #zeros() Looping with: [ ]