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TRS Innermost pair #487524554
details
property
value
status
complete
benchmark
Ex1_Luc04b_C.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n107.star.cs.uiowa.edu
space
Transformed_CSR_innermost_04
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
1.61626505852 seconds
cpu usage
1.545102491
max memory
2.0189184E7
stage attributes
key
value
output-size
46731
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(cons(X1:S,X2:S)) -> cons(active(X1:S),X2:S) active(head(cons(X:S,XS:S))) -> mark(X:S) active(head(X:S)) -> head(active(X:S)) active(incr(cons(X:S,XS:S))) -> mark(cons(s(X:S),incr(XS:S))) active(incr(X:S)) -> incr(active(X:S)) active(s(X:S)) -> s(active(X:S)) active(tail(cons(X:S,XS:S))) -> mark(XS:S) active(tail(X:S)) -> tail(active(X:S)) active(nats) -> mark(cons(0,incr(nats))) active(odds) -> mark(incr(pairs)) active(pairs) -> mark(cons(0,incr(odds))) 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)) head(mark(X:S)) -> mark(head(X:S)) head(ok(X:S)) -> ok(head(X:S)) incr(mark(X:S)) -> mark(incr(X:S)) incr(ok(X:S)) -> ok(incr(X:S)) proper(cons(X1:S,X2:S)) -> cons(proper(X1:S),proper(X2:S)) proper(head(X:S)) -> head(proper(X:S)) proper(incr(X:S)) -> incr(proper(X:S)) proper(s(X:S)) -> s(proper(X:S)) proper(tail(X:S)) -> tail(proper(X:S)) proper(0) -> ok(0) proper(nats) -> ok(nats) proper(odds) -> ok(odds) proper(pairs) -> ok(pairs) s(mark(X:S)) -> mark(s(X:S)) s(ok(X:S)) -> ok(s(X:S)) tail(mark(X:S)) -> mark(tail(X:S)) tail(ok(X:S)) -> ok(tail(X:S)) top(mark(X:S)) -> top(proper(X:S)) top(ok(X:S)) -> top(active(X:S)) ) (STRATEGY INNERMOST) Problem 1: Dependency Pairs Processor: -> Pairs: ACTIVE(cons(X1:S,X2:S)) -> ACTIVE(X1:S) ACTIVE(cons(X1:S,X2:S)) -> CONS(active(X1:S),X2:S) ACTIVE(head(X:S)) -> ACTIVE(X:S) ACTIVE(head(X:S)) -> HEAD(active(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))) -> S(X:S) ACTIVE(incr(X:S)) -> ACTIVE(X:S) ACTIVE(incr(X:S)) -> INCR(active(X:S)) ACTIVE(s(X:S)) -> ACTIVE(X:S) ACTIVE(s(X:S)) -> S(active(X:S)) ACTIVE(tail(X:S)) -> ACTIVE(X:S) ACTIVE(tail(X:S)) -> TAIL(active(X:S)) CONS(mark(X1:S),X2:S) -> CONS(X1:S,X2:S) CONS(ok(X1:S),ok(X2:S)) -> CONS(X1:S,X2:S) HEAD(mark(X:S)) -> HEAD(X:S) HEAD(ok(X:S)) -> HEAD(X:S) INCR(mark(X:S)) -> INCR(X:S) INCR(ok(X:S)) -> INCR(X: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(head(X:S)) -> HEAD(proper(X:S)) PROPER(head(X:S)) -> PROPER(X:S) PROPER(incr(X:S)) -> INCR(proper(X:S)) PROPER(incr(X:S)) -> PROPER(X:S) PROPER(s(X:S)) -> PROPER(X:S) PROPER(s(X:S)) -> S(proper(X:S)) PROPER(tail(X:S)) -> PROPER(X:S) PROPER(tail(X:S)) -> TAIL(proper(X:S)) S(mark(X:S)) -> S(X:S) S(ok(X:S)) -> S(X:S) TAIL(mark(X:S)) -> TAIL(X:S) TAIL(ok(X:S)) -> TAIL(X:S) TOP(mark(X:S)) -> PROPER(X:S) TOP(mark(X:S)) -> TOP(proper(X:S)) TOP(ok(X:S)) -> ACTIVE(X:S) TOP(ok(X:S)) -> TOP(active(X:S)) -> Rules: active(cons(X1:S,X2:S)) -> cons(active(X1:S),X2:S) active(head(cons(X:S,XS:S))) -> mark(X:S) active(head(X:S)) -> head(active(X:S)) active(incr(cons(X:S,XS:S))) -> mark(cons(s(X:S),incr(XS:S))) active(incr(X:S)) -> incr(active(X:S)) active(s(X:S)) -> s(active(X:S)) active(tail(cons(X:S,XS:S))) -> mark(XS:S) active(tail(X:S)) -> tail(active(X:S)) active(nats) -> mark(cons(0,incr(nats))) active(odds) -> mark(incr(pairs))
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