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TRS Standard pair #487072174
details
property
value
status
complete
benchmark
ExIntrod_Zan97.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n177.star.cs.uiowa.edu
space
Strategy_removed_CSR_05
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
60.3542 seconds
cpu usage
60.3397
user time
48.7114
system time
11.6283
max virtual memory
599212.0
max residence set size
6116.0
stage attributes
key
value
starexec-result
NO
output
NO Problem 1: (VAR v_NonEmpty:S X:S Y:S) (RULES add(0,X:S) -> X:S add(s(X:S),Y:S) -> s(add(X:S,Y:S)) fact(X:S) -> if(zero(X:S),s(0),prod(X:S,fact(p(X:S)))) if(ffalse,X:S,Y:S) -> Y:S if(ttrue,X:S,Y:S) -> X:S p(s(X:S)) -> X:S prod(0,X:S) -> 0 prod(s(X:S),Y:S) -> add(Y:S,prod(X:S,Y:S)) zero(0) -> ttrue zero(s(X:S)) -> ffalse ) Problem 1: Dependency Pairs Processor: -> Pairs: ADD(s(X:S),Y:S) -> ADD(X:S,Y:S) FACT(X:S) -> FACT(p(X:S)) FACT(X:S) -> IF(zero(X:S),s(0),prod(X:S,fact(p(X:S)))) FACT(X:S) -> P(X:S) FACT(X:S) -> PROD(X:S,fact(p(X:S))) FACT(X:S) -> ZERO(X:S) PROD(s(X:S),Y:S) -> ADD(Y:S,prod(X:S,Y:S)) PROD(s(X:S),Y:S) -> PROD(X:S,Y:S) -> Rules: add(0,X:S) -> X:S add(s(X:S),Y:S) -> s(add(X:S,Y:S)) fact(X:S) -> if(zero(X:S),s(0),prod(X:S,fact(p(X:S)))) if(ffalse,X:S,Y:S) -> Y:S if(ttrue,X:S,Y:S) -> X:S p(s(X:S)) -> X:S prod(0,X:S) -> 0 prod(s(X:S),Y:S) -> add(Y:S,prod(X:S,Y:S)) zero(0) -> ttrue zero(s(X:S)) -> ffalse Problem 1: Infinite Processor: -> Pairs: ADD(s(X:S),Y:S) -> ADD(X:S,Y:S) FACT(X:S) -> FACT(p(X:S)) FACT(X:S) -> IF(zero(X:S),s(0),prod(X:S,fact(p(X:S)))) FACT(X:S) -> P(X:S) FACT(X:S) -> PROD(X:S,fact(p(X:S))) FACT(X:S) -> ZERO(X:S) PROD(s(X:S),Y:S) -> ADD(Y:S,prod(X:S,Y:S)) PROD(s(X:S),Y:S) -> PROD(X:S,Y:S) -> Rules: add(0,X:S) -> X:S add(s(X:S),Y:S) -> s(add(X:S,Y:S)) fact(X:S) -> if(zero(X:S),s(0),prod(X:S,fact(p(X:S)))) if(ffalse,X:S,Y:S) -> Y:S if(ttrue,X:S,Y:S) -> X:S p(s(X:S)) -> X:S prod(0,X:S) -> 0 prod(s(X:S),Y:S) -> add(Y:S,prod(X:S,Y:S)) zero(0) -> ttrue zero(s(X:S)) -> ffalse -> Pairs in cycle: FACT(X:S) -> FACT(p(X:S)) The problem is infinite.
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