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TRS Innermost pair #487093546
details
property
value
status
complete
benchmark
Ex4_7_15_Bor03_C.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n145.star.cs.uiowa.edu
space
Transformed_CSR_innermost_04
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
82.855 seconds
cpu usage
82.4751
user time
81.8063
system time
0.668829
max virtual memory
855188.0
max residence set size
145976.0
stage attributes
key
value
starexec-result
YES
output
YES Problem 1: (VAR v_NonEmpty:S X:S X1:S X2:S) (RULES active(cons(X1:S,X2:S)) -> cons(active(X1:S),X2:S) active(f(s(0))) -> mark(f(p(s(0)))) active(f(0)) -> mark(cons(0,f(s(0)))) active(f(X:S)) -> f(active(X:S)) active(p(s(0))) -> mark(0) active(p(X:S)) -> p(active(X:S)) active(s(X:S)) -> s(active(X: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)) f(mark(X:S)) -> mark(f(X:S)) f(ok(X:S)) -> ok(f(X:S)) p(mark(X:S)) -> mark(p(X:S)) p(ok(X:S)) -> ok(p(X:S)) proper(cons(X1:S,X2:S)) -> cons(proper(X1:S),proper(X2:S)) proper(f(X:S)) -> f(proper(X:S)) proper(p(X:S)) -> p(proper(X:S)) proper(s(X:S)) -> s(proper(X:S)) proper(0) -> ok(0) 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)) ) (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(f(X:S)) -> ACTIVE(X:S) ACTIVE(f(X:S)) -> F(active(X:S)) ACTIVE(p(X:S)) -> ACTIVE(X:S) ACTIVE(p(X:S)) -> P(active(X:S)) ACTIVE(s(X:S)) -> ACTIVE(X:S) ACTIVE(s(X:S)) -> S(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) F(mark(X:S)) -> F(X:S) F(ok(X:S)) -> F(X:S) P(mark(X:S)) -> P(X:S) P(ok(X:S)) -> P(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(f(X:S)) -> F(proper(X:S)) PROPER(f(X:S)) -> PROPER(X:S) PROPER(p(X:S)) -> P(proper(X:S)) PROPER(p(X:S)) -> PROPER(X:S) PROPER(s(X:S)) -> PROPER(X:S) PROPER(s(X:S)) -> S(proper(X:S)) S(mark(X:S)) -> S(X:S) S(ok(X:S)) -> S(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(f(s(0))) -> mark(f(p(s(0)))) active(f(0)) -> mark(cons(0,f(s(0)))) active(f(X:S)) -> f(active(X:S)) active(p(s(0))) -> mark(0) active(p(X:S)) -> p(active(X:S)) active(s(X:S)) -> s(active(X: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)) f(mark(X:S)) -> mark(f(X:S)) f(ok(X:S)) -> ok(f(X:S)) p(mark(X:S)) -> mark(p(X:S)) p(ok(X:S)) -> ok(p(X:S)) proper(cons(X1:S,X2:S)) -> cons(proper(X1:S),proper(X2:S)) proper(f(X:S)) -> f(proper(X:S)) proper(p(X:S)) -> p(proper(X:S)) proper(s(X:S)) -> s(proper(X:S)) proper(0) -> ok(0) 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)) Problem 1: SCC Processor: -> Pairs: ACTIVE(cons(X1:S,X2:S)) -> ACTIVE(X1:S) ACTIVE(cons(X1:S,X2:S)) -> CONS(active(X1:S),X2:S) ACTIVE(f(X:S)) -> ACTIVE(X:S) ACTIVE(f(X:S)) -> F(active(X:S)) ACTIVE(p(X:S)) -> ACTIVE(X:S) ACTIVE(p(X:S)) -> P(active(X:S)) ACTIVE(s(X:S)) -> ACTIVE(X:S) ACTIVE(s(X:S)) -> S(active(X:S))
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