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TRS Standard pair #487069594
details
property
value
status
complete
benchmark
Ex3_3_25_Bor03_C.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n191.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.174371 seconds
cpu usage
0.179955
user time
0.14157
system time
0.038385
max virtual memory
113188.0
max residence set size
12536.0
stage attributes
key
value
starexec-result
YES
output
YES Problem 1: (VAR v_NonEmpty:S L:S X:S X1:S X2:S XS:S Y:S YS:S) (RULES active(app(cons(X:S,XS:S),YS:S)) -> mark(cons(X:S,app(XS:S,YS:S))) active(app(nil,YS:S)) -> mark(YS:S) active(app(X1:S,X2:S)) -> app(active(X1:S),X2:S) active(app(X1:S,X2:S)) -> app(X1:S,active(X2:S)) active(cons(X1:S,X2:S)) -> cons(active(X1:S),X2:S) active(from(X:S)) -> from(active(X:S)) active(from(X:S)) -> mark(cons(X:S,from(s(X:S)))) active(prefix(L:S)) -> mark(cons(nil,zWadr(L:S,prefix(L:S)))) active(prefix(X:S)) -> prefix(active(X:S)) active(s(X:S)) -> s(active(X:S)) active(zWadr(cons(X:S,XS:S),cons(Y:S,YS:S))) -> mark(cons(app(Y:S,cons(X:S,nil)),zWadr(XS:S,YS:S))) active(zWadr(nil,YS:S)) -> mark(nil) active(zWadr(X1:S,X2:S)) -> zWadr(active(X1:S),X2:S) active(zWadr(X1:S,X2:S)) -> zWadr(X1:S,active(X2:S)) active(zWadr(XS:S,nil)) -> mark(nil) app(mark(X1:S),X2:S) -> mark(app(X1:S,X2:S)) app(ok(X1:S),ok(X2:S)) -> ok(app(X1:S,X2:S)) app(X1:S,mark(X2:S)) -> mark(app(X1:S,X2:S)) cons(mark(X1:S),X2:S) -> mark(cons(X1:S,X2:S)) cons(ok(X1:S),ok(X2:S)) -> ok(cons(X1:S,X2:S)) from(mark(X:S)) -> mark(from(X:S)) from(ok(X:S)) -> ok(from(X:S)) prefix(mark(X:S)) -> mark(prefix(X:S)) prefix(ok(X:S)) -> ok(prefix(X:S)) proper(app(X1:S,X2:S)) -> app(proper(X1:S),proper(X2:S)) proper(cons(X1:S,X2:S)) -> cons(proper(X1:S),proper(X2:S)) proper(from(X:S)) -> from(proper(X:S)) proper(prefix(X:S)) -> prefix(proper(X:S)) proper(s(X:S)) -> s(proper(X:S)) proper(zWadr(X1:S,X2:S)) -> zWadr(proper(X1:S),proper(X2:S)) proper(nil) -> ok(nil) s(mark(X:S)) -> mark(s(X:S)) s(ok(X:S)) -> ok(s(X:S)) top(mark(X:S)) -> top(proper(X:S)) top(ok(X:S)) -> top(active(X:S)) zWadr(mark(X1:S),X2:S) -> mark(zWadr(X1:S,X2:S)) zWadr(ok(X1:S),ok(X2:S)) -> ok(zWadr(X1:S,X2:S)) zWadr(X1:S,mark(X2:S)) -> mark(zWadr(X1:S,X2:S)) ) Problem 1: Dependency Pairs Processor: -> Pairs: ACTIVE(app(cons(X:S,XS:S),YS:S)) -> APP(XS:S,YS:S) ACTIVE(app(cons(X:S,XS:S),YS:S)) -> CONS(X:S,app(XS:S,YS:S)) ACTIVE(app(X1:S,X2:S)) -> ACTIVE(X1:S) ACTIVE(app(X1:S,X2:S)) -> ACTIVE(X2:S) ACTIVE(app(X1:S,X2:S)) -> APP(active(X1:S),X2:S) ACTIVE(app(X1:S,X2:S)) -> APP(X1:S,active(X2:S)) ACTIVE(cons(X1:S,X2:S)) -> ACTIVE(X1:S) ACTIVE(cons(X1:S,X2:S)) -> CONS(active(X1:S),X2:S) ACTIVE(from(X:S)) -> ACTIVE(X:S) ACTIVE(from(X:S)) -> CONS(X:S,from(s(X:S))) ACTIVE(from(X:S)) -> FROM(active(X:S)) ACTIVE(from(X:S)) -> FROM(s(X:S)) ACTIVE(from(X:S)) -> S(X:S) ACTIVE(prefix(L:S)) -> CONS(nil,zWadr(L:S,prefix(L:S))) ACTIVE(prefix(L:S)) -> ZWADR(L:S,prefix(L:S)) ACTIVE(prefix(X:S)) -> ACTIVE(X:S) ACTIVE(prefix(X:S)) -> PREFIX(active(X:S)) ACTIVE(s(X:S)) -> ACTIVE(X:S) ACTIVE(s(X:S)) -> S(active(X:S)) ACTIVE(zWadr(cons(X:S,XS:S),cons(Y:S,YS:S))) -> APP(Y:S,cons(X:S,nil)) ACTIVE(zWadr(cons(X:S,XS:S),cons(Y:S,YS:S))) -> CONS(app(Y:S,cons(X:S,nil)),zWadr(XS:S,YS:S)) ACTIVE(zWadr(cons(X:S,XS:S),cons(Y:S,YS:S))) -> CONS(X:S,nil) ACTIVE(zWadr(cons(X:S,XS:S),cons(Y:S,YS:S))) -> ZWADR(XS:S,YS:S) ACTIVE(zWadr(X1:S,X2:S)) -> ACTIVE(X1:S) ACTIVE(zWadr(X1:S,X2:S)) -> ACTIVE(X2:S) ACTIVE(zWadr(X1:S,X2:S)) -> ZWADR(active(X1:S),X2:S) ACTIVE(zWadr(X1:S,X2:S)) -> ZWADR(X1:S,active(X2:S)) APP(mark(X1:S),X2:S) -> APP(X1:S,X2:S) APP(ok(X1:S),ok(X2:S)) -> APP(X1:S,X2:S) APP(X1:S,mark(X2:S)) -> APP(X1:S,X2:S) CONS(mark(X1:S),X2:S) -> CONS(X1:S,X2:S) CONS(ok(X1:S),ok(X2:S)) -> CONS(X1:S,X2:S) FROM(mark(X:S)) -> FROM(X:S) FROM(ok(X:S)) -> FROM(X:S) PREFIX(mark(X:S)) -> PREFIX(X:S) PREFIX(ok(X:S)) -> PREFIX(X:S) PROPER(app(X1:S,X2:S)) -> APP(proper(X1:S),proper(X2:S)) PROPER(app(X1:S,X2:S)) -> PROPER(X1:S) PROPER(app(X1:S,X2:S)) -> PROPER(X2:S) PROPER(cons(X1:S,X2:S)) -> CONS(proper(X1:S),proper(X2:S)) PROPER(cons(X1:S,X2:S)) -> PROPER(X1:S) PROPER(cons(X1:S,X2:S)) -> PROPER(X2:S) PROPER(from(X:S)) -> FROM(proper(X:S)) PROPER(from(X:S)) -> PROPER(X:S) PROPER(prefix(X:S)) -> PREFIX(proper(X:S)) PROPER(prefix(X:S)) -> PROPER(X:S) PROPER(s(X:S)) -> PROPER(X:S) PROPER(s(X:S)) -> S(proper(X:S)) PROPER(zWadr(X1:S,X2:S)) -> PROPER(X1:S) PROPER(zWadr(X1:S,X2:S)) -> PROPER(X2:S)
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