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TRS Standard pair #487066659
details
property
value
status
complete
benchmark
14.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n192.star.cs.uiowa.edu
space
Various_04
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.233638 seconds
cpu usage
0.245692
user time
0.168467
system time
0.077225
max virtual memory
113188.0
max residence set size
12500.0
stage attributes
key
value
starexec-result
YES
output
YES Problem 1: (VAR v_NonEmpty:S x:S y:S z:S) (RULES +(O(x:S),O(y:S)) -> O(+(x:S,y:S)) +(O(x:S),I(y:S)) -> I(+(x:S,y:S)) +(0,x:S) -> x:S +(I(x:S),O(y:S)) -> I(+(x:S,y:S)) +(I(x:S),I(y:S)) -> O(+(+(x:S,y:S),I(0))) +(x:S,+(y:S,z:S)) -> +(+(x:S,y:S),z:S) +(x:S,0) -> x:S -(O(x:S),O(y:S)) -> O(-(x:S,y:S)) -(O(x:S),I(y:S)) -> I(-(-(x:S,y:S),I(1))) -(0,x:S) -> 0 -(I(x:S),O(y:S)) -> I(-(x:S,y:S)) -(I(x:S),I(y:S)) -> O(-(x:S,y:S)) -(x:S,0) -> x:S BS(L(x:S)) -> ttrue BS(N(x:S,l,r)) -> and(and(ge(x:S,Max(l)),ge(Min(r),x:S)),and(BS(l),BS(r))) Log(x:S) -> -(Log'(x:S),I(0)) Log'(O(x:S)) -> if(ge(x:S,I(0)),+(Log'(x:S),I(0)),0) Log'(0) -> 0 Log'(I(x:S)) -> +(Log'(x:S),I(0)) Max(L(x:S)) -> x:S Max(N(x:S,l,r)) -> Max(r) Min(L(x:S)) -> x:S Min(N(x:S,l,r)) -> Min(l) O(0) -> 0 Size(L(x:S)) -> I(0) Size(N(x:S,l,r)) -> +(+(Size(l),Size(r)),I(1)) Val(L(x:S)) -> x:S Val(N(x:S,l,r)) -> x:S WB(L(x:S)) -> ttrue WB(N(x:S,l,r)) -> and(if(ge(Size(l),Size(r)),ge(I(0),-(Size(l),Size(r))),ge(I(0),-(Size(r),Size(l)))),and(WB(l),WB(r))) and(x:S,ffalse) -> ffalse and(x:S,ttrue) -> x:S ge(O(x:S),O(y:S)) -> ge(x:S,y:S) ge(O(x:S),I(y:S)) -> not(ge(y:S,x:S)) ge(0,O(x:S)) -> ge(0,x:S) ge(0,I(x:S)) -> ffalse ge(I(x:S),O(y:S)) -> ge(x:S,y:S) ge(I(x:S),I(y:S)) -> ge(x:S,y:S) ge(x:S,0) -> ttrue if(ffalse,x:S,y:S) -> y:S if(ttrue,x:S,y:S) -> x:S not(ffalse) -> ttrue not(ttrue) -> ffalse ) Problem 1: Dependency Pairs Processor: -> Pairs: +#(O(x:S),O(y:S)) -> +#(x:S,y:S) +#(O(x:S),O(y:S)) -> O#(+(x:S,y:S)) +#(O(x:S),I(y:S)) -> +#(x:S,y:S) +#(I(x:S),O(y:S)) -> +#(x:S,y:S) +#(I(x:S),I(y:S)) -> +#(+(x:S,y:S),I(0)) +#(I(x:S),I(y:S)) -> +#(x:S,y:S) +#(I(x:S),I(y:S)) -> O#(+(+(x:S,y:S),I(0))) +#(x:S,+(y:S,z:S)) -> +#(+(x:S,y:S),z:S) +#(x:S,+(y:S,z:S)) -> +#(x:S,y:S) -#(O(x:S),O(y:S)) -> -#(x:S,y:S) -#(O(x:S),O(y:S)) -> O#(-(x:S,y:S)) -#(O(x:S),I(y:S)) -> -#(-(x:S,y:S),I(1)) -#(O(x:S),I(y:S)) -> -#(x:S,y:S) -#(I(x:S),O(y:S)) -> -#(x:S,y:S) -#(I(x:S),I(y:S)) -> -#(x:S,y:S) -#(I(x:S),I(y:S)) -> O#(-(x:S,y:S)) BS#(N(x:S,l,r)) -> AND(and(ge(x:S,Max(l)),ge(Min(r),x:S)),and(BS(l),BS(r))) BS#(N(x:S,l,r)) -> AND(ge(x:S,Max(l)),ge(Min(r),x:S)) BS#(N(x:S,l,r)) -> GE(Min(r),x:S) LOG(x:S) -> -#(Log'(x:S),I(0)) LOG(x:S) -> LOG'(x:S) LOG'(O(x:S)) -> +#(Log'(x:S),I(0)) LOG'(O(x:S)) -> LOG'(x:S) LOG'(O(x:S)) -> GE(x:S,I(0)) LOG'(O(x:S)) -> IF(ge(x:S,I(0)),+(Log'(x:S),I(0)),0) LOG'(I(x:S)) -> +#(Log'(x:S),I(0)) LOG'(I(x:S)) -> LOG'(x:S) GE(O(x:S),O(y:S)) -> GE(x:S,y:S) GE(O(x:S),I(y:S)) -> GE(y:S,x:S) GE(O(x:S),I(y:S)) -> NOT(ge(y:S,x:S)) GE(0,O(x:S)) -> GE(0,x:S) GE(I(x:S),O(y:S)) -> GE(x:S,y:S) GE(I(x:S),I(y:S)) -> GE(x:S,y:S) -> Rules: +(O(x:S),O(y:S)) -> O(+(x:S,y:S)) +(O(x:S),I(y:S)) -> I(+(x:S,y:S)) +(0,x:S) -> x:S +(I(x:S),O(y:S)) -> I(+(x:S,y:S)) +(I(x:S),I(y:S)) -> O(+(+(x:S,y:S),I(0))) +(x:S,+(y:S,z:S)) -> +(+(x:S,y:S),z:S) +(x:S,0) -> x:S -(O(x:S),O(y:S)) -> O(-(x:S,y:S)) -(O(x:S),I(y:S)) -> I(-(-(x:S,y:S),I(1))) -(0,x:S) -> 0 -(I(x:S),O(y:S)) -> I(-(x:S,y:S))
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