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TRS Standard pair #487070757
details
property
value
status
complete
benchmark
Ex49_GM04_FR.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n183.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
14.994 seconds
cpu usage
58.6377
user time
51.7721
system time
6.86562
max virtual memory
6337944.0
max residence set size
168148.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: minus(n__0(),Y) -> 0() minus(n__s(X),n__s(Y)) -> minus(activate(X),activate(Y)) geq(X,n__0()) -> true() geq(n__0(),n__s(Y)) -> false() geq(n__s(X),n__s(Y)) -> geq(activate(X),activate(Y)) div(0(),n__s(Y)) -> 0() div(s(X),n__s(Y)) -> if(geq(X,activate(Y)),n__s(n__div(n__minus(X,activate(Y)),n__s(activate(Y)))),n__0()) if(true(),X,Y) -> activate(X) if(false(),X,Y) -> activate(Y) 0() -> n__0() s(X) -> n__s(X) div(X1,X2) -> n__div(X1,X2) minus(X1,X2) -> n__minus(X1,X2) activate(n__0()) -> 0() activate(n__s(X)) -> s(activate(X)) activate(n__div(X1,X2)) -> div(activate(X1),X2) activate(n__minus(X1,X2)) -> minus(X1,X2) activate(X) -> X Proof: DP Processor: DPs: minus#(n__0(),Y) -> 0#() minus#(n__s(X),n__s(Y)) -> activate#(Y) minus#(n__s(X),n__s(Y)) -> activate#(X) minus#(n__s(X),n__s(Y)) -> minus#(activate(X),activate(Y)) geq#(n__s(X),n__s(Y)) -> activate#(Y) geq#(n__s(X),n__s(Y)) -> activate#(X) geq#(n__s(X),n__s(Y)) -> geq#(activate(X),activate(Y)) div#(s(X),n__s(Y)) -> activate#(Y) div#(s(X),n__s(Y)) -> geq#(X,activate(Y)) div#(s(X),n__s(Y)) -> if#(geq(X,activate(Y)),n__s(n__div(n__minus(X,activate(Y)),n__s(activate(Y)))),n__0()) if#(true(),X,Y) -> activate#(X) if#(false(),X,Y) -> activate#(Y) activate#(n__0()) -> 0#() activate#(n__s(X)) -> activate#(X) activate#(n__s(X)) -> s#(activate(X)) activate#(n__div(X1,X2)) -> activate#(X1) activate#(n__div(X1,X2)) -> div#(activate(X1),X2) activate#(n__minus(X1,X2)) -> minus#(X1,X2) TRS: minus(n__0(),Y) -> 0() minus(n__s(X),n__s(Y)) -> minus(activate(X),activate(Y)) geq(X,n__0()) -> true() geq(n__0(),n__s(Y)) -> false() geq(n__s(X),n__s(Y)) -> geq(activate(X),activate(Y)) div(0(),n__s(Y)) -> 0() div(s(X),n__s(Y)) -> if(geq(X,activate(Y)),n__s(n__div(n__minus(X,activate(Y)),n__s(activate(Y)))),n__0()) if(true(),X,Y) -> activate(X) if(false(),X,Y) -> activate(Y) 0() -> n__0() s(X) -> n__s(X) div(X1,X2) -> n__div(X1,X2) minus(X1,X2) -> n__minus(X1,X2) activate(n__0()) -> 0() activate(n__s(X)) -> s(activate(X)) activate(n__div(X1,X2)) -> div(activate(X1),X2) activate(n__minus(X1,X2)) -> minus(X1,X2) activate(X) -> X TDG Processor: DPs: minus#(n__0(),Y) -> 0#() minus#(n__s(X),n__s(Y)) -> activate#(Y) minus#(n__s(X),n__s(Y)) -> activate#(X) minus#(n__s(X),n__s(Y)) -> minus#(activate(X),activate(Y)) geq#(n__s(X),n__s(Y)) -> activate#(Y) geq#(n__s(X),n__s(Y)) -> activate#(X) geq#(n__s(X),n__s(Y)) -> geq#(activate(X),activate(Y)) div#(s(X),n__s(Y)) -> activate#(Y) div#(s(X),n__s(Y)) -> geq#(X,activate(Y)) div#(s(X),n__s(Y)) -> if#(geq(X,activate(Y)),n__s(n__div(n__minus(X,activate(Y)),n__s(activate(Y)))),n__0()) if#(true(),X,Y) -> activate#(X) if#(false(),X,Y) -> activate#(Y) activate#(n__0()) -> 0#() activate#(n__s(X)) -> activate#(X) activate#(n__s(X)) -> s#(activate(X)) activate#(n__div(X1,X2)) -> activate#(X1) activate#(n__div(X1,X2)) -> div#(activate(X1),X2) activate#(n__minus(X1,X2)) -> minus#(X1,X2) TRS: minus(n__0(),Y) -> 0() minus(n__s(X),n__s(Y)) -> minus(activate(X),activate(Y)) geq(X,n__0()) -> true() geq(n__0(),n__s(Y)) -> false() geq(n__s(X),n__s(Y)) -> geq(activate(X),activate(Y)) div(0(),n__s(Y)) -> 0() div(s(X),n__s(Y)) -> if(geq(X,activate(Y)),n__s(n__div(n__minus(X,activate(Y)),n__s(activate(Y)))),n__0()) if(true(),X,Y) -> activate(X) if(false(),X,Y) -> activate(Y) 0() -> n__0() s(X) -> n__s(X) div(X1,X2) -> n__div(X1,X2)
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