/export/starexec/sandbox2/solver/bin/starexec_run_Default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- MAYBE Input TRS: 1: o(x) -> a(l(x)) 2: a(l(x)) -> l(a(a(x))) 3: l(o(x)) -> o(l(x)) 4: a(x) -> x 5: H(0(),x) -> o(x) 6: a(H(H(0(),y),z)) -> c1(y,z) 7: a(H(H(H(0(),x),y),z)) -> c2(x,y,z) 8: c2(x,y,z) -> o(H(y,z)) 9: a(c1(x,y)) -> c1(x,H(x,y)) 10: a(c2(x,y,z)) -> c2(x,H(x,y),z) 11: c1(y,z) -> o(z) Number of strict rules: 11 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #a(l(x)) -> #l(a(a(x))) #2: #a(l(x)) -> #a(a(x)) #3: #a(l(x)) -> #a(x) #4: #a(H(H(0(),y),z)) -> #c1(y,z) #5: #a(c1(x,y)) -> #c1(x,H(x,y)) #6: #a(c1(x,y)) -> #H(x,y) #7: #c1(y,z) -> #o(z) #8: #a(H(H(H(0(),x),y),z)) -> #c2(x,y,z) #9: #a(c2(x,y,z)) -> #c2(x,H(x,y),z) #10: #a(c2(x,y,z)) -> #H(x,y) #11: #H(0(),x) -> #o(x) #12: #l(o(x)) -> #o(l(x)) #13: #l(o(x)) -> #l(x) #14: #o(x) -> #a(l(x)) #15: #o(x) -> #l(x) #16: #c2(x,y,z) -> #o(H(y,z)) #17: #c2(x,y,z) -> #H(y,z) Number of SCCs: 1, DPs: 17 SCC { #1..17 } POLO(Sum)... POLO(max)... succeeded. a w: x1 c1 w: max(x1 + 2, x2) l w: x1 H w: max(x1 + 2, x2) o w: x1 0 w: 0 c2 w: max(x1 + 4, x2 + 2, x3) #o w: x1 + 1 #H w: max(x2 + 1) #l w: x1 + 1 #a w: x1 + 1 #c1 w: max(x1 + 2, x2 + 1) #c2 w: max(x1 + 5, x2 + 3, x3 + 1) USABLE RULES: { 1..11 } Removed DPs: #10 Number of SCCs: 1, DPs: 16 SCC { #1..9 #11..17 } POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... failed. Finding a loop... failed.