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TRS Standard pair #516961151
details
property
value
status
complete
benchmark
Ex4_7_37_Bor03_FR.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n167.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.332292079926 seconds
cpu usage
0.249758374
max memory
5754880.0
stage attributes
key
value
output-size
32162
starexec-result
YES
output
/export/starexec/sandbox/solver/bin/starexec_run_default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES Problem 1: (VAR v_NonEmpty:S N:S X:S X1:S X2:S XS:S Y:S YS:S) (RULES activate(n__from(X:S)) -> from(activate(X:S)) activate(n__s(X:S)) -> s(activate(X:S)) activate(n__zWquot(X1:S,X2:S)) -> zWquot(activate(X1:S),activate(X2:S)) activate(X:S) -> X:S from(X:S) -> cons(X:S,n__from(n__s(X:S))) from(X:S) -> n__from(X:S) minus(s(X:S),s(Y:S)) -> minus(X:S,Y:S) minus(X:S,0) -> 0 quot(s(X:S),s(Y:S)) -> s(quot(minus(X:S,Y:S),s(Y:S))) quot(0,s(Y:S)) -> 0 s(X:S) -> n__s(X:S) sel(s(N:S),cons(X:S,XS:S)) -> sel(N:S,activate(XS:S)) sel(0,cons(X:S,XS:S)) -> X:S zWquot(cons(X:S,XS:S),cons(Y:S,YS:S)) -> cons(quot(X:S,Y:S),n__zWquot(activate(XS:S),activate(YS:S))) zWquot(nil,XS:S) -> nil zWquot(X1:S,X2:S) -> n__zWquot(X1:S,X2:S) zWquot(XS:S,nil) -> nil ) Problem 1: Dependency Pairs Processor: -> Pairs: ACTIVATE(n__from(X:S)) -> ACTIVATE(X:S) ACTIVATE(n__from(X:S)) -> FROM(activate(X:S)) ACTIVATE(n__s(X:S)) -> ACTIVATE(X:S) ACTIVATE(n__s(X:S)) -> S(activate(X:S)) ACTIVATE(n__zWquot(X1:S,X2:S)) -> ACTIVATE(X1:S) ACTIVATE(n__zWquot(X1:S,X2:S)) -> ACTIVATE(X2:S) ACTIVATE(n__zWquot(X1:S,X2:S)) -> ZWQUOT(activate(X1:S),activate(X2:S)) MINUS(s(X:S),s(Y:S)) -> MINUS(X:S,Y:S) QUOT(s(X:S),s(Y:S)) -> MINUS(X:S,Y:S) QUOT(s(X:S),s(Y:S)) -> QUOT(minus(X:S,Y:S),s(Y:S)) QUOT(s(X:S),s(Y:S)) -> S(quot(minus(X:S,Y:S),s(Y:S))) SEL(s(N:S),cons(X:S,XS:S)) -> ACTIVATE(XS:S) SEL(s(N:S),cons(X:S,XS:S)) -> SEL(N:S,activate(XS:S)) ZWQUOT(cons(X:S,XS:S),cons(Y:S,YS:S)) -> ACTIVATE(XS:S) ZWQUOT(cons(X:S,XS:S),cons(Y:S,YS:S)) -> ACTIVATE(YS:S) ZWQUOT(cons(X:S,XS:S),cons(Y:S,YS:S)) -> QUOT(X:S,Y:S) -> Rules: activate(n__from(X:S)) -> from(activate(X:S)) activate(n__s(X:S)) -> s(activate(X:S)) activate(n__zWquot(X1:S,X2:S)) -> zWquot(activate(X1:S),activate(X2:S)) activate(X:S) -> X:S from(X:S) -> cons(X:S,n__from(n__s(X:S))) from(X:S) -> n__from(X:S) minus(s(X:S),s(Y:S)) -> minus(X:S,Y:S) minus(X:S,0) -> 0 quot(s(X:S),s(Y:S)) -> s(quot(minus(X:S,Y:S),s(Y:S))) quot(0,s(Y:S)) -> 0 s(X:S) -> n__s(X:S) sel(s(N:S),cons(X:S,XS:S)) -> sel(N:S,activate(XS:S)) sel(0,cons(X:S,XS:S)) -> X:S zWquot(cons(X:S,XS:S),cons(Y:S,YS:S)) -> cons(quot(X:S,Y:S),n__zWquot(activate(XS:S),activate(YS:S))) zWquot(nil,XS:S) -> nil zWquot(X1:S,X2:S) -> n__zWquot(X1:S,X2:S) zWquot(XS:S,nil) -> nil Problem 1: SCC Processor: -> Pairs: ACTIVATE(n__from(X:S)) -> ACTIVATE(X:S) ACTIVATE(n__from(X:S)) -> FROM(activate(X:S)) ACTIVATE(n__s(X:S)) -> ACTIVATE(X:S) ACTIVATE(n__s(X:S)) -> S(activate(X:S)) ACTIVATE(n__zWquot(X1:S,X2:S)) -> ACTIVATE(X1:S) ACTIVATE(n__zWquot(X1:S,X2:S)) -> ACTIVATE(X2:S) ACTIVATE(n__zWquot(X1:S,X2:S)) -> ZWQUOT(activate(X1:S),activate(X2:S)) MINUS(s(X:S),s(Y:S)) -> MINUS(X:S,Y:S) QUOT(s(X:S),s(Y:S)) -> MINUS(X:S,Y:S) QUOT(s(X:S),s(Y:S)) -> QUOT(minus(X:S,Y:S),s(Y:S)) QUOT(s(X:S),s(Y:S)) -> S(quot(minus(X:S,Y:S),s(Y:S))) SEL(s(N:S),cons(X:S,XS:S)) -> ACTIVATE(XS:S) SEL(s(N:S),cons(X:S,XS:S)) -> SEL(N:S,activate(XS:S)) ZWQUOT(cons(X:S,XS:S),cons(Y:S,YS:S)) -> ACTIVATE(XS:S) ZWQUOT(cons(X:S,XS:S),cons(Y:S,YS:S)) -> ACTIVATE(YS:S) ZWQUOT(cons(X:S,XS:S),cons(Y:S,YS:S)) -> QUOT(X:S,Y:S) -> Rules: activate(n__from(X:S)) -> from(activate(X:S)) activate(n__s(X:S)) -> s(activate(X:S)) activate(n__zWquot(X1:S,X2:S)) -> zWquot(activate(X1:S),activate(X2:S)) activate(X:S) -> X:S from(X:S) -> cons(X:S,n__from(n__s(X:S))) from(X:S) -> n__from(X:S) minus(s(X:S),s(Y:S)) -> minus(X:S,Y:S) minus(X:S,0) -> 0 quot(s(X:S),s(Y:S)) -> s(quot(minus(X:S,Y:S),s(Y:S)))
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