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TRS Standard pair #487071219
details
property
value
status
complete
benchmark
Ex49_GM04_Z.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n186.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.0772191 seconds
cpu usage
0.084402
user time
0.048498
system time
0.035904
max virtual memory
113188.0
max residence set size
5880.0
stage attributes
key
value
starexec-result
YES
output
YES Problem 1: (VAR v_NonEmpty:S X:S Y:S) (RULES 0 -> n__0 activate(n__0) -> 0 activate(n__s(X:S)) -> s(X:S) activate(X:S) -> X:S div(0,n__s(Y:S)) -> 0 div(s(X:S),n__s(Y:S)) -> if(geq(X:S,activate(Y:S)),n__s(div(minus(X:S,activate(Y:S)),n__s(activate(Y:S)))),n__0) geq(n__0,n__s(Y:S)) -> ffalse geq(n__s(X:S),n__s(Y:S)) -> geq(activate(X:S),activate(Y:S)) geq(X:S,n__0) -> ttrue if(ffalse,X:S,Y:S) -> activate(Y:S) if(ttrue,X:S,Y:S) -> activate(X:S) minus(n__0,Y:S) -> 0 minus(n__s(X:S),n__s(Y:S)) -> minus(activate(X:S),activate(Y:S)) s(X:S) -> n__s(X:S) ) Problem 1: Dependency Pairs Processor: -> Pairs: ACTIVATE(n__0) -> 0# ACTIVATE(n__s(X:S)) -> S(X:S) DIV(s(X:S),n__s(Y:S)) -> ACTIVATE(Y:S) DIV(s(X:S),n__s(Y:S)) -> DIV(minus(X:S,activate(Y:S)),n__s(activate(Y:S))) DIV(s(X:S),n__s(Y:S)) -> GEQ(X:S,activate(Y:S)) DIV(s(X:S),n__s(Y:S)) -> IF(geq(X:S,activate(Y:S)),n__s(div(minus(X:S,activate(Y:S)),n__s(activate(Y:S)))),n__0) DIV(s(X:S),n__s(Y:S)) -> MINUS(X:S,activate(Y:S)) GEQ(n__s(X:S),n__s(Y:S)) -> ACTIVATE(X:S) GEQ(n__s(X:S),n__s(Y:S)) -> ACTIVATE(Y:S) GEQ(n__s(X:S),n__s(Y:S)) -> GEQ(activate(X:S),activate(Y:S)) IF(ffalse,X:S,Y:S) -> ACTIVATE(Y:S) IF(ttrue,X:S,Y:S) -> ACTIVATE(X:S) MINUS(n__0,Y:S) -> 0# MINUS(n__s(X:S),n__s(Y:S)) -> ACTIVATE(X:S) MINUS(n__s(X:S),n__s(Y:S)) -> ACTIVATE(Y:S) MINUS(n__s(X:S),n__s(Y:S)) -> MINUS(activate(X:S),activate(Y:S)) -> Rules: 0 -> n__0 activate(n__0) -> 0 activate(n__s(X:S)) -> s(X:S) activate(X:S) -> X:S div(0,n__s(Y:S)) -> 0 div(s(X:S),n__s(Y:S)) -> if(geq(X:S,activate(Y:S)),n__s(div(minus(X:S,activate(Y:S)),n__s(activate(Y:S)))),n__0) geq(n__0,n__s(Y:S)) -> ffalse geq(n__s(X:S),n__s(Y:S)) -> geq(activate(X:S),activate(Y:S)) geq(X:S,n__0) -> ttrue if(ffalse,X:S,Y:S) -> activate(Y:S) if(ttrue,X:S,Y:S) -> activate(X:S) minus(n__0,Y:S) -> 0 minus(n__s(X:S),n__s(Y:S)) -> minus(activate(X:S),activate(Y:S)) s(X:S) -> n__s(X:S) Problem 1: SCC Processor: -> Pairs: ACTIVATE(n__0) -> 0# ACTIVATE(n__s(X:S)) -> S(X:S) DIV(s(X:S),n__s(Y:S)) -> ACTIVATE(Y:S) DIV(s(X:S),n__s(Y:S)) -> DIV(minus(X:S,activate(Y:S)),n__s(activate(Y:S))) DIV(s(X:S),n__s(Y:S)) -> GEQ(X:S,activate(Y:S)) DIV(s(X:S),n__s(Y:S)) -> IF(geq(X:S,activate(Y:S)),n__s(div(minus(X:S,activate(Y:S)),n__s(activate(Y:S)))),n__0) DIV(s(X:S),n__s(Y:S)) -> MINUS(X:S,activate(Y:S)) GEQ(n__s(X:S),n__s(Y:S)) -> ACTIVATE(X:S) GEQ(n__s(X:S),n__s(Y:S)) -> ACTIVATE(Y:S) GEQ(n__s(X:S),n__s(Y:S)) -> GEQ(activate(X:S),activate(Y:S)) IF(ffalse,X:S,Y:S) -> ACTIVATE(Y:S) IF(ttrue,X:S,Y:S) -> ACTIVATE(X:S) MINUS(n__0,Y:S) -> 0# MINUS(n__s(X:S),n__s(Y:S)) -> ACTIVATE(X:S) MINUS(n__s(X:S),n__s(Y:S)) -> ACTIVATE(Y:S) MINUS(n__s(X:S),n__s(Y:S)) -> MINUS(activate(X:S),activate(Y:S)) -> Rules: 0 -> n__0 activate(n__0) -> 0 activate(n__s(X:S)) -> s(X:S) activate(X:S) -> X:S div(0,n__s(Y:S)) -> 0 div(s(X:S),n__s(Y:S)) -> if(geq(X:S,activate(Y:S)),n__s(div(minus(X:S,activate(Y:S)),n__s(activate(Y:S)))),n__0) geq(n__0,n__s(Y:S)) -> ffalse geq(n__s(X:S),n__s(Y:S)) -> geq(activate(X:S),activate(Y:S)) geq(X:S,n__0) -> ttrue if(ffalse,X:S,Y:S) -> activate(Y:S) if(ttrue,X:S,Y:S) -> activate(X:S) minus(n__0,Y:S) -> 0 minus(n__s(X:S),n__s(Y:S)) -> minus(activate(X:S),activate(Y:S)) s(X:S) -> n__s(X:S) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: GEQ(n__s(X:S),n__s(Y:S)) -> GEQ(activate(X:S),activate(Y:S)) ->->-> Rules: 0 -> n__0 activate(n__0) -> 0
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