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TRS Standard pair #516961726
details
property
value
status
complete
benchmark
Ex1_Luc04b_iGM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n007.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
4.65379691124 seconds
cpu usage
4.417017757
max memory
1.3570048E7
stage attributes
key
value
output-size
107608
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 X:S X1:S X2:S XS:S) (RULES active(head(cons(X:S,XS:S))) -> mark(X:S) active(incr(cons(X:S,XS:S))) -> mark(cons(s(X:S),incr(XS:S))) active(tail(cons(X:S,XS:S))) -> mark(XS:S) active(nats) -> mark(cons(0,incr(nats))) active(odds) -> mark(incr(pairs)) active(pairs) -> mark(cons(0,incr(odds))) cons(active(X1:S),X2:S) -> cons(X1:S,X2:S) cons(mark(X1:S),X2:S) -> cons(X1:S,X2:S) cons(X1:S,active(X2:S)) -> cons(X1:S,X2:S) cons(X1:S,mark(X2:S)) -> cons(X1:S,X2:S) head(active(X:S)) -> head(X:S) head(mark(X:S)) -> head(X:S) incr(active(X:S)) -> incr(X:S) incr(mark(X:S)) -> incr(X:S) mark(cons(X1:S,X2:S)) -> active(cons(mark(X1:S),X2:S)) mark(head(X:S)) -> active(head(mark(X:S))) mark(incr(X:S)) -> active(incr(mark(X:S))) mark(s(X:S)) -> active(s(mark(X:S))) mark(tail(X:S)) -> active(tail(mark(X:S))) mark(0) -> active(0) mark(nats) -> active(nats) mark(odds) -> active(odds) mark(pairs) -> active(pairs) s(active(X:S)) -> s(X:S) s(mark(X:S)) -> s(X:S) tail(active(X:S)) -> tail(X:S) tail(mark(X:S)) -> tail(X:S) ) Problem 1: Dependency Pairs Processor: -> Pairs: ACTIVE(head(cons(X:S,XS:S))) -> MARK(X:S) ACTIVE(incr(cons(X:S,XS:S))) -> CONS(s(X:S),incr(XS:S)) ACTIVE(incr(cons(X:S,XS:S))) -> INCR(XS:S) ACTIVE(incr(cons(X:S,XS:S))) -> MARK(cons(s(X:S),incr(XS:S))) ACTIVE(incr(cons(X:S,XS:S))) -> S(X:S) ACTIVE(tail(cons(X:S,XS:S))) -> MARK(XS:S) ACTIVE(nats) -> MARK(cons(0,incr(nats))) ACTIVE(odds) -> MARK(incr(pairs)) ACTIVE(pairs) -> MARK(cons(0,incr(odds))) CONS(active(X1:S),X2:S) -> CONS(X1:S,X2:S) CONS(mark(X1:S),X2:S) -> CONS(X1:S,X2:S) CONS(X1:S,active(X2:S)) -> CONS(X1:S,X2:S) CONS(X1:S,mark(X2:S)) -> CONS(X1:S,X2:S) HEAD(active(X:S)) -> HEAD(X:S) HEAD(mark(X:S)) -> HEAD(X:S) INCR(active(X:S)) -> INCR(X:S) INCR(mark(X:S)) -> INCR(X:S) MARK(cons(X1:S,X2:S)) -> ACTIVE(cons(mark(X1:S),X2:S)) MARK(cons(X1:S,X2:S)) -> CONS(mark(X1:S),X2:S) MARK(cons(X1:S,X2:S)) -> MARK(X1:S) MARK(head(X:S)) -> ACTIVE(head(mark(X:S))) MARK(head(X:S)) -> HEAD(mark(X:S)) MARK(head(X:S)) -> MARK(X:S) MARK(incr(X:S)) -> ACTIVE(incr(mark(X:S))) MARK(incr(X:S)) -> INCR(mark(X:S)) MARK(incr(X:S)) -> MARK(X:S) MARK(s(X:S)) -> ACTIVE(s(mark(X:S))) MARK(s(X:S)) -> MARK(X:S) MARK(s(X:S)) -> S(mark(X:S)) MARK(tail(X:S)) -> ACTIVE(tail(mark(X:S))) MARK(tail(X:S)) -> MARK(X:S) MARK(tail(X:S)) -> TAIL(mark(X:S)) MARK(nats) -> ACTIVE(nats) MARK(odds) -> ACTIVE(odds) MARK(pairs) -> ACTIVE(pairs) S(active(X:S)) -> S(X:S) S(mark(X:S)) -> S(X:S) TAIL(active(X:S)) -> TAIL(X:S) TAIL(mark(X:S)) -> TAIL(X:S) -> Rules: active(head(cons(X:S,XS:S))) -> mark(X:S) active(incr(cons(X:S,XS:S))) -> mark(cons(s(X:S),incr(XS:S))) active(tail(cons(X:S,XS:S))) -> mark(XS:S) active(nats) -> mark(cons(0,incr(nats))) active(odds) -> mark(incr(pairs)) active(pairs) -> mark(cons(0,incr(odds))) cons(active(X1:S),X2:S) -> cons(X1:S,X2:S) cons(mark(X1:S),X2:S) -> cons(X1:S,X2:S) cons(X1:S,active(X2:S)) -> cons(X1:S,X2:S) cons(X1:S,mark(X2:S)) -> cons(X1:S,X2:S) head(active(X:S)) -> head(X:S) head(mark(X:S)) -> head(X:S) incr(active(X:S)) -> incr(X:S) incr(mark(X:S)) -> incr(X:S) mark(cons(X1:S,X2:S)) -> active(cons(mark(X1:S),X2:S))
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