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TRS Standard pair #487070754
details
property
value
status
complete
benchmark
Ex5_Zan97_C.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n189.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
3.03478 seconds
cpu usage
2.82176
user time
2.66215
system time
0.159607
max virtual memory
719784.0
max residence set size
16976.0
stage attributes
key
value
starexec-result
YES
output
YES Problem 1: (VAR v_NonEmpty:S X:S X1:S X2:S X3:S Y:S) (RULES active(f(X:S)) -> f(active(X:S)) active(f(X:S)) -> mark(if(X:S,c,f(ttrue))) active(if(ffalse,X:S,Y:S)) -> mark(Y:S) active(if(ttrue,X:S,Y:S)) -> mark(X:S) active(if(X1:S,X2:S,X3:S)) -> if(active(X1:S),X2:S,X3:S) active(if(X1:S,X2:S,X3:S)) -> if(X1:S,active(X2:S),X3:S) f(mark(X:S)) -> mark(f(X:S)) f(ok(X:S)) -> ok(f(X:S)) if(mark(X1:S),X2:S,X3:S) -> mark(if(X1:S,X2:S,X3:S)) if(ok(X1:S),ok(X2:S),ok(X3:S)) -> ok(if(X1:S,X2:S,X3:S)) if(X1:S,mark(X2:S),X3:S) -> mark(if(X1:S,X2:S,X3:S)) proper(f(X:S)) -> f(proper(X:S)) proper(if(X1:S,X2:S,X3:S)) -> if(proper(X1:S),proper(X2:S),proper(X3:S)) proper(c) -> ok(c) proper(ffalse) -> ok(ffalse) proper(ttrue) -> ok(ttrue) top(mark(X:S)) -> top(proper(X:S)) top(ok(X:S)) -> top(active(X:S)) ) Problem 1: Dependency Pairs Processor: -> Pairs: ACTIVE(f(X:S)) -> ACTIVE(X:S) ACTIVE(f(X:S)) -> F(active(X:S)) ACTIVE(f(X:S)) -> IF(X:S,c,f(ttrue)) ACTIVE(if(X1:S,X2:S,X3:S)) -> ACTIVE(X1:S) ACTIVE(if(X1:S,X2:S,X3:S)) -> ACTIVE(X2:S) ACTIVE(if(X1:S,X2:S,X3:S)) -> IF(active(X1:S),X2:S,X3:S) ACTIVE(if(X1:S,X2:S,X3:S)) -> IF(X1:S,active(X2:S),X3:S) F(mark(X:S)) -> F(X:S) F(ok(X:S)) -> F(X:S) IF(mark(X1:S),X2:S,X3:S) -> IF(X1:S,X2:S,X3:S) IF(ok(X1:S),ok(X2:S),ok(X3:S)) -> IF(X1:S,X2:S,X3:S) IF(X1:S,mark(X2:S),X3:S) -> IF(X1:S,X2:S,X3:S) PROPER(f(X:S)) -> F(proper(X:S)) PROPER(f(X:S)) -> PROPER(X:S) PROPER(if(X1:S,X2:S,X3:S)) -> IF(proper(X1:S),proper(X2:S),proper(X3:S)) PROPER(if(X1:S,X2:S,X3:S)) -> PROPER(X1:S) PROPER(if(X1:S,X2:S,X3:S)) -> PROPER(X2:S) PROPER(if(X1:S,X2:S,X3:S)) -> PROPER(X3: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(f(X:S)) -> f(active(X:S)) active(f(X:S)) -> mark(if(X:S,c,f(ttrue))) active(if(ffalse,X:S,Y:S)) -> mark(Y:S) active(if(ttrue,X:S,Y:S)) -> mark(X:S) active(if(X1:S,X2:S,X3:S)) -> if(active(X1:S),X2:S,X3:S) active(if(X1:S,X2:S,X3:S)) -> if(X1:S,active(X2:S),X3:S) f(mark(X:S)) -> mark(f(X:S)) f(ok(X:S)) -> ok(f(X:S)) if(mark(X1:S),X2:S,X3:S) -> mark(if(X1:S,X2:S,X3:S)) if(ok(X1:S),ok(X2:S),ok(X3:S)) -> ok(if(X1:S,X2:S,X3:S)) if(X1:S,mark(X2:S),X3:S) -> mark(if(X1:S,X2:S,X3:S)) proper(f(X:S)) -> f(proper(X:S)) proper(if(X1:S,X2:S,X3:S)) -> if(proper(X1:S),proper(X2:S),proper(X3:S)) proper(c) -> ok(c) proper(ffalse) -> ok(ffalse) proper(ttrue) -> ok(ttrue) top(mark(X:S)) -> top(proper(X:S)) top(ok(X:S)) -> top(active(X:S)) Problem 1: SCC Processor: -> Pairs: ACTIVE(f(X:S)) -> ACTIVE(X:S) ACTIVE(f(X:S)) -> F(active(X:S)) ACTIVE(f(X:S)) -> IF(X:S,c,f(ttrue)) ACTIVE(if(X1:S,X2:S,X3:S)) -> ACTIVE(X1:S) ACTIVE(if(X1:S,X2:S,X3:S)) -> ACTIVE(X2:S) ACTIVE(if(X1:S,X2:S,X3:S)) -> IF(active(X1:S),X2:S,X3:S) ACTIVE(if(X1:S,X2:S,X3:S)) -> IF(X1:S,active(X2:S),X3:S) F(mark(X:S)) -> F(X:S) F(ok(X:S)) -> F(X:S) IF(mark(X1:S),X2:S,X3:S) -> IF(X1:S,X2:S,X3:S) IF(ok(X1:S),ok(X2:S),ok(X3:S)) -> IF(X1:S,X2:S,X3:S) IF(X1:S,mark(X2:S),X3:S) -> IF(X1:S,X2:S,X3:S) PROPER(f(X:S)) -> F(proper(X:S)) PROPER(f(X:S)) -> PROPER(X:S) PROPER(if(X1:S,X2:S,X3:S)) -> IF(proper(X1:S),proper(X2:S),proper(X3:S)) PROPER(if(X1:S,X2:S,X3:S)) -> PROPER(X1:S) PROPER(if(X1:S,X2:S,X3:S)) -> PROPER(X2:S) PROPER(if(X1:S,X2:S,X3:S)) -> PROPER(X3: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(f(X:S)) -> f(active(X:S))
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