details

property	value
status	complete
benchmark	ExAppendixB_AEL03_Z.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n050.star.cs.uiowa.edu
space	Transformed_CSR_04

run statistics

property	value
solver	muterm 6.0.3
configuration	default
runtime (wallclock)	0.0554661750793 seconds
cpu usage	0.050084837
max memory	2580480.0

stage attributes

key	value
output-size	12080
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 Y:S Z:S) (RULES 2ndsneg(0,Z:S) -> rnil 2ndsneg(s(N:S),cons(X:S,Z:S)) -> 2ndsneg(s(N:S),cons2(X:S,activate(Z:S))) 2ndsneg(s(N:S),cons2(X:S,cons(Y:S,Z:S))) -> rcons(negrecip(Y:S),2ndspos(N:S,activate(Z:S))) 2ndspos(0,Z:S) -> rnil 2ndspos(s(N:S),cons(X:S,Z:S)) -> 2ndspos(s(N:S),cons2(X:S,activate(Z:S))) 2ndspos(s(N:S),cons2(X:S,cons(Y:S,Z:S))) -> rcons(posrecip(Y:S),2ndsneg(N:S,activate(Z:S))) activate(n__from(X:S)) -> from(X:S) activate(X:S) -> X:S from(X:S) -> cons(X:S,n__from(s(X:S))) from(X:S) -> n__from(X:S) pi(X:S) -> 2ndspos(X:S,from(0)) plus(0,Y:S) -> Y:S plus(s(X:S),Y:S) -> s(plus(X:S,Y:S)) square(X:S) -> times(X:S,X:S) times(0,Y:S) -> 0 times(s(X:S),Y:S) -> plus(Y:S,times(X:S,Y:S)) ) Problem 1: Dependency Pairs Processor: -> Pairs: 2NDSNEG(s(N:S),cons(X:S,Z:S)) -> 2NDSNEG(s(N:S),cons2(X:S,activate(Z:S))) 2NDSNEG(s(N:S),cons(X:S,Z:S)) -> ACTIVATE(Z:S) 2NDSNEG(s(N:S),cons2(X:S,cons(Y:S,Z:S))) -> 2NDSPOS(N:S,activate(Z:S)) 2NDSNEG(s(N:S),cons2(X:S,cons(Y:S,Z:S))) -> ACTIVATE(Z:S) 2NDSPOS(s(N:S),cons(X:S,Z:S)) -> 2NDSPOS(s(N:S),cons2(X:S,activate(Z:S))) 2NDSPOS(s(N:S),cons(X:S,Z:S)) -> ACTIVATE(Z:S) 2NDSPOS(s(N:S),cons2(X:S,cons(Y:S,Z:S))) -> 2NDSNEG(N:S,activate(Z:S)) 2NDSPOS(s(N:S),cons2(X:S,cons(Y:S,Z:S))) -> ACTIVATE(Z:S) ACTIVATE(n__from(X:S)) -> FROM(X:S) PI(X:S) -> 2NDSPOS(X:S,from(0)) PI(X:S) -> FROM(0) PLUS(s(X:S),Y:S) -> PLUS(X:S,Y:S) SQUARE(X:S) -> TIMES(X:S,X:S) TIMES(s(X:S),Y:S) -> PLUS(Y:S,times(X:S,Y:S)) TIMES(s(X:S),Y:S) -> TIMES(X:S,Y:S) -> Rules: 2ndsneg(0,Z:S) -> rnil 2ndsneg(s(N:S),cons(X:S,Z:S)) -> 2ndsneg(s(N:S),cons2(X:S,activate(Z:S))) 2ndsneg(s(N:S),cons2(X:S,cons(Y:S,Z:S))) -> rcons(negrecip(Y:S),2ndspos(N:S,activate(Z:S))) 2ndspos(0,Z:S) -> rnil 2ndspos(s(N:S),cons(X:S,Z:S)) -> 2ndspos(s(N:S),cons2(X:S,activate(Z:S))) 2ndspos(s(N:S),cons2(X:S,cons(Y:S,Z:S))) -> rcons(posrecip(Y:S),2ndsneg(N:S,activate(Z:S))) activate(n__from(X:S)) -> from(X:S) activate(X:S) -> X:S from(X:S) -> cons(X:S,n__from(s(X:S))) from(X:S) -> n__from(X:S) pi(X:S) -> 2ndspos(X:S,from(0)) plus(0,Y:S) -> Y:S plus(s(X:S),Y:S) -> s(plus(X:S,Y:S)) square(X:S) -> times(X:S,X:S) times(0,Y:S) -> 0 times(s(X:S),Y:S) -> plus(Y:S,times(X:S,Y:S)) Problem 1: SCC Processor: -> Pairs: 2NDSNEG(s(N:S),cons(X:S,Z:S)) -> 2NDSNEG(s(N:S),cons2(X:S,activate(Z:S))) 2NDSNEG(s(N:S),cons(X:S,Z:S)) -> ACTIVATE(Z:S) 2NDSNEG(s(N:S),cons2(X:S,cons(Y:S,Z:S))) -> 2NDSPOS(N:S,activate(Z:S)) 2NDSNEG(s(N:S),cons2(X:S,cons(Y:S,Z:S))) -> ACTIVATE(Z:S) 2NDSPOS(s(N:S),cons(X:S,Z:S)) -> 2NDSPOS(s(N:S),cons2(X:S,activate(Z:S))) 2NDSPOS(s(N:S),cons(X:S,Z:S)) -> ACTIVATE(Z:S) 2NDSPOS(s(N:S),cons2(X:S,cons(Y:S,Z:S))) -> 2NDSNEG(N:S,activate(Z:S)) 2NDSPOS(s(N:S),cons2(X:S,cons(Y:S,Z:S))) -> ACTIVATE(Z:S) ACTIVATE(n__from(X:S)) -> FROM(X:S) PI(X:S) -> 2NDSPOS(X:S,from(0)) PI(X:S) -> FROM(0) PLUS(s(X:S),Y:S) -> PLUS(X:S,Y:S) SQUARE(X:S) -> TIMES(X:S,X:S) TIMES(s(X:S),Y:S) -> PLUS(Y:S,times(X:S,Y:S)) TIMES(s(X:S),Y:S) -> TIMES(X:S,Y:S) -> Rules: 2ndsneg(0,Z:S) -> rnil 2ndsneg(s(N:S),cons(X:S,Z:S)) -> 2ndsneg(s(N:S),cons2(X:S,activate(Z:S))) 2ndsneg(s(N:S),cons2(X:S,cons(Y:S,Z:S))) -> rcons(negrecip(Y:S),2ndspos(N:S,activate(Z:S))) 2ndspos(0,Z:S) -> rnil 2ndspos(s(N:S),cons(X:S,Z:S)) -> 2ndspos(s(N:S),cons2(X:S,activate(Z:S))) 2ndspos(s(N:S),cons2(X:S,cons(Y:S,Z:S))) -> rcons(posrecip(Y:S),2ndsneg(N:S,activate(Z:S))) activate(n__from(X:S)) -> from(X:S) activate(X:S) -> X:S from(X:S) -> cons(X:S,n__from(s(X:S))) from(X:S) -> n__from(X:S) pi(X:S) -> 2ndspos(X:S,from(0)) plus(0,Y:S) -> Y:S plus(s(X:S),Y:S) -> s(plus(X:S,Y:S)) popout

output may be truncated. 'popout' for the full output.

job log

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actions

all output return to TRS Standard