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TRS Standard pair #516962821
details
property
value
status
complete
benchmark
Ex8_BLR02_Z.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n030.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.0251650810242 seconds
cpu usage
0.021210208
max memory
1863680.0
stage attributes
key
value
output-size
4865
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 N:S X:S X1:S X2:S XS:S Y:S) (RULES activate(n__fib1(X1:S,X2:S)) -> fib1(X1:S,X2:S) activate(X:S) -> X:S add(0,X:S) -> X:S add(s(X:S),Y:S) -> s(add(X:S,Y:S)) fib(N:S) -> sel(N:S,fib1(s(0),s(0))) fib1(X:S,Y:S) -> cons(X:S,n__fib1(Y:S,add(X:S,Y:S))) fib1(X1:S,X2:S) -> n__fib1(X1:S,X2:S) sel(0,cons(X:S,XS:S)) -> X:S sel(s(N:S),cons(X:S,XS:S)) -> sel(N:S,activate(XS:S)) ) Problem 1: Dependency Pairs Processor: -> Pairs: ACTIVATE(n__fib1(X1:S,X2:S)) -> FIB1(X1:S,X2:S) ADD(s(X:S),Y:S) -> ADD(X:S,Y:S) FIB(N:S) -> FIB1(s(0),s(0)) FIB(N:S) -> SEL(N:S,fib1(s(0),s(0))) FIB1(X:S,Y:S) -> ADD(X:S,Y:S) SEL(s(N:S),cons(X:S,XS:S)) -> ACTIVATE(XS:S) SEL(s(N:S),cons(X:S,XS:S)) -> SEL(N:S,activate(XS:S)) -> Rules: activate(n__fib1(X1:S,X2:S)) -> fib1(X1:S,X2:S) activate(X:S) -> X:S add(0,X:S) -> X:S add(s(X:S),Y:S) -> s(add(X:S,Y:S)) fib(N:S) -> sel(N:S,fib1(s(0),s(0))) fib1(X:S,Y:S) -> cons(X:S,n__fib1(Y:S,add(X:S,Y:S))) fib1(X1:S,X2:S) -> n__fib1(X1:S,X2:S) sel(0,cons(X:S,XS:S)) -> X:S sel(s(N:S),cons(X:S,XS:S)) -> sel(N:S,activate(XS:S)) Problem 1: SCC Processor: -> Pairs: ACTIVATE(n__fib1(X1:S,X2:S)) -> FIB1(X1:S,X2:S) ADD(s(X:S),Y:S) -> ADD(X:S,Y:S) FIB(N:S) -> FIB1(s(0),s(0)) FIB(N:S) -> SEL(N:S,fib1(s(0),s(0))) FIB1(X:S,Y:S) -> ADD(X:S,Y:S) SEL(s(N:S),cons(X:S,XS:S)) -> ACTIVATE(XS:S) SEL(s(N:S),cons(X:S,XS:S)) -> SEL(N:S,activate(XS:S)) -> Rules: activate(n__fib1(X1:S,X2:S)) -> fib1(X1:S,X2:S) activate(X:S) -> X:S add(0,X:S) -> X:S add(s(X:S),Y:S) -> s(add(X:S,Y:S)) fib(N:S) -> sel(N:S,fib1(s(0),s(0))) fib1(X:S,Y:S) -> cons(X:S,n__fib1(Y:S,add(X:S,Y:S))) fib1(X1:S,X2:S) -> n__fib1(X1:S,X2:S) sel(0,cons(X:S,XS:S)) -> X:S sel(s(N:S),cons(X:S,XS:S)) -> sel(N:S,activate(XS:S)) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: ADD(s(X:S),Y:S) -> ADD(X:S,Y:S) ->->-> Rules: activate(n__fib1(X1:S,X2:S)) -> fib1(X1:S,X2:S) activate(X:S) -> X:S add(0,X:S) -> X:S add(s(X:S),Y:S) -> s(add(X:S,Y:S)) fib(N:S) -> sel(N:S,fib1(s(0),s(0))) fib1(X:S,Y:S) -> cons(X:S,n__fib1(Y:S,add(X:S,Y:S))) fib1(X1:S,X2:S) -> n__fib1(X1:S,X2:S) sel(0,cons(X:S,XS:S)) -> X:S sel(s(N:S),cons(X:S,XS:S)) -> sel(N:S,activate(XS:S)) ->->Cycle: ->->-> Pairs: SEL(s(N:S),cons(X:S,XS:S)) -> SEL(N:S,activate(XS:S)) ->->-> Rules: activate(n__fib1(X1:S,X2:S)) -> fib1(X1:S,X2:S) activate(X:S) -> X:S add(0,X:S) -> X:S add(s(X:S),Y:S) -> s(add(X:S,Y:S)) fib(N:S) -> sel(N:S,fib1(s(0),s(0))) fib1(X:S,Y:S) -> cons(X:S,n__fib1(Y:S,add(X:S,Y:S))) fib1(X1:S,X2:S) -> n__fib1(X1:S,X2:S) sel(0,cons(X:S,XS:S)) -> X:S sel(s(N:S),cons(X:S,XS:S)) -> sel(N:S,activate(XS:S)) The problem is decomposed in 2 subproblems. Problem 1.1: Subterm Processor:
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