25.34/23.92 MAYBE 25.34/23.93 Input TRS: 25.34/23.93 1: T(ok(sys(x,p(d,0()),r(0()),y))) -> T(check(sys(x,bot(),r(1()),y))) 25.34/23.93 2: T(ok(sys(x,p(d,1()),r(1()),y))) -> T(check(sys(x,bot(),r(0()),y))) 25.34/23.93 3: T(ok(sys(S(0(),c(d,ds)),bot(),y,z))) ->= T(check(sys(S(0(),c(d,ds)),p(d,0()),y,z))) 25.34/23.93 4: T(ok(sys(S(1(),c(d,ds)),bot(),y,z))) ->= T(check(sys(S(0(),c(d,ds)),p(d,1()),y,z))) 25.34/23.93 5: T(ok(sys(S(0(),c(d,ds)),x,y,f(0())))) ->= T(check(sys(S(1(),ds),x,y,bot()))) 25.34/23.93 6: T(ok(sys(S(1(),c(d,ds)),x,y,f(1())))) ->= T(check(sys(S(0(),ds),x,y,bot()))) 25.34/23.93 7: T(ok(sys(x,y,r(0()),bot()))) ->= T(check(sys(x,y,r(0()),f(1())))) 25.34/23.93 8: T(ok(sys(x,y,r(1()),bot()))) ->= T(check(sys(x,y,r(1()),f(0())))) 25.34/23.93 9: nils() ->= c(new(),nils()) 25.34/23.93 10: p(d,b) ->= bot() 25.34/23.93 11: f(b) ->= bot() 25.34/23.93 12: check(old()) ->= ok(old()) 25.34/23.93 13: check(r(v1)) ->= r(check(v1)) 25.34/23.93 14: r(ok(v1)) ->= ok(r(v1)) 25.34/23.93 15: check(f(v1)) ->= f(check(v1)) 25.34/23.93 16: f(ok(v1)) ->= ok(f(v1)) 25.34/23.93 17: check(p(v1,v2)) ->= p(v1,check(v2)) 25.34/23.93 18: check(p(v1,v2)) ->= p(check(v1),v2) 25.34/23.93 19: p(v1,ok(v2)) ->= ok(p(v1,v2)) 25.34/23.93 20: p(ok(v1),v2) ->= ok(p(v1,v2)) 25.34/23.93 21: check(c(v1,v2)) ->= c(v1,check(v2)) 25.34/23.93 22: check(c(v1,v2)) ->= c(check(v1),v2) 25.34/23.93 23: c(v1,ok(v2)) ->= ok(c(v1,v2)) 25.34/23.93 24: c(ok(v1),v2) ->= ok(c(v1,v2)) 25.34/23.93 25: check(S(v1,v2)) ->= S(v1,check(v2)) 25.34/23.93 26: check(S(v1,v2)) ->= S(check(v1),v2) 25.34/23.93 27: S(v1,ok(v2)) ->= ok(S(v1,v2)) 25.34/23.93 28: S(ok(v1),v2) ->= ok(S(v1,v2)) 25.34/23.93 29: check(sys(v1,v2,v3,v4)) ->= sys(v1,v2,v3,check(v4)) 25.34/23.93 30: check(sys(v1,v2,v3,v4)) ->= sys(v1,v2,check(v3),v4) 25.34/23.93 31: check(sys(v1,v2,v3,v4)) ->= sys(v1,check(v2),v3,v4) 25.34/23.93 32: check(sys(v1,v2,v3,v4)) ->= sys(check(v1),v2,v3,v4) 25.34/23.93 33: sys(v1,v2,v3,ok(v4)) ->= ok(sys(v1,v2,v3,v4)) 25.34/23.93 34: sys(v1,v2,ok(v3),v4) ->= ok(sys(v1,v2,v3,v4)) 25.34/23.93 35: sys(v1,ok(v2),v3,v4) ->= ok(sys(v1,v2,v3,v4)) 25.34/23.93 36: sys(ok(v1),v2,v3,v4) ->= ok(sys(v1,v2,v3,v4)) 25.34/23.93 Number of strict rules: 2 25.34/23.93 Direct POLO(bPol) ... failed. 25.34/23.93 Uncurrying ... failed. 25.34/23.93 Dependency Pairs: 25.34/23.93 #1: #T(ok(sys(x,p(d,1()),r(1()),y))) -> #T(check(sys(x,bot(),r(0()),y))) 25.34/23.93 #2: #T(ok(sys(S(1(),c(d,ds)),x,y,f(1())))) ->? #T(check(sys(S(0(),ds),x,y,bot()))) 25.34/23.93 #3: #T(ok(sys(x,y,r(0()),bot()))) ->? #T(check(sys(x,y,r(0()),f(1())))) 25.34/23.93 #4: #T(ok(sys(S(0(),c(d,ds)),x,y,f(0())))) ->? #T(check(sys(S(1(),ds),x,y,bot()))) 25.34/23.93 #5: #T(ok(sys(S(0(),c(d,ds)),bot(),y,z))) ->? #T(check(sys(S(0(),c(d,ds)),p(d,0()),y,z))) 25.34/23.93 #6: #T(ok(sys(x,p(d,0()),r(0()),y))) -> #T(check(sys(x,bot(),r(1()),y))) 25.34/23.93 #7: #T(ok(sys(x,y,r(1()),bot()))) ->? #T(check(sys(x,y,r(1()),f(0())))) 25.34/23.93 #8: #T(ok(sys(S(1(),c(d,ds)),bot(),y,z))) ->? #T(check(sys(S(0(),c(d,ds)),p(d,1()),y,z))) 25.34/23.93 Number of SCCs: 1, DPs: 8 25.34/23.93 SCC { #1..8 } 25.34/23.93 POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... failed. 25.34/23.93 Finding a loop... failed. 25.34/23.93 EOF