details

property	value
status	complete
benchmark	Ex49_GM04_GM.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)	0.163162 seconds
cpu usage	0.168988
user time	0.135617
system time	0.033371
max virtual memory	113188.0
max residence set size	9176.0

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 a__div(0,s(Y:S)) -> 0 a__div(s(X:S),s(Y:S)) -> a__if(a__geq(X:S,Y:S),s(div(minus(X:S,Y:S),s(Y:S))),0) a__div(X1:S,X2:S) -> div(X1:S,X2:S) a__geq(0,s(Y:S)) -> ffalse a__geq(s(X:S),s(Y:S)) -> a__geq(X:S,Y:S) a__geq(X:S,0) -> ttrue a__geq(X1:S,X2:S) -> geq(X1:S,X2:S) a__if(ffalse,X:S,Y:S) -> mark(Y:S) a__if(ttrue,X:S,Y:S) -> mark(X:S) a__if(X1:S,X2:S,X3:S) -> if(X1:S,X2:S,X3:S) a__minus(0,Y:S) -> 0 a__minus(s(X:S),s(Y:S)) -> a__minus(X:S,Y:S) a__minus(X1:S,X2:S) -> minus(X1:S,X2:S) mark(0) -> 0 mark(div(X1:S,X2:S)) -> a__div(mark(X1:S),X2:S) mark(ffalse) -> ffalse mark(geq(X1:S,X2:S)) -> a__geq(X1:S,X2:S) mark(if(X1:S,X2:S,X3:S)) -> a__if(mark(X1:S),X2:S,X3:S) mark(minus(X1:S,X2:S)) -> a__minus(X1:S,X2:S) mark(s(X:S)) -> s(mark(X:S)) mark(ttrue) -> ttrue ) (STRATEGY INNERMOST) Problem 1: Dependency Pairs Processor: -> Pairs: A__DIV(s(X:S),s(Y:S)) -> A__GEQ(X:S,Y:S) A__DIV(s(X:S),s(Y:S)) -> A__IF(a__geq(X:S,Y:S),s(div(minus(X:S,Y:S),s(Y:S))),0) A__GEQ(s(X:S),s(Y:S)) -> A__GEQ(X:S,Y:S) A__IF(ffalse,X:S,Y:S) -> MARK(Y:S) A__IF(ttrue,X:S,Y:S) -> MARK(X:S) A__MINUS(s(X:S),s(Y:S)) -> A__MINUS(X:S,Y:S) MARK(div(X1:S,X2:S)) -> A__DIV(mark(X1:S),X2:S) MARK(div(X1:S,X2:S)) -> MARK(X1:S) MARK(geq(X1:S,X2:S)) -> A__GEQ(X1:S,X2:S) MARK(if(X1:S,X2:S,X3:S)) -> A__IF(mark(X1:S),X2:S,X3:S) MARK(if(X1:S,X2:S,X3:S)) -> MARK(X1:S) MARK(minus(X1:S,X2:S)) -> A__MINUS(X1:S,X2:S) MARK(s(X:S)) -> MARK(X:S) -> Rules: a__div(0,s(Y:S)) -> 0 a__div(s(X:S),s(Y:S)) -> a__if(a__geq(X:S,Y:S),s(div(minus(X:S,Y:S),s(Y:S))),0) a__div(X1:S,X2:S) -> div(X1:S,X2:S) a__geq(0,s(Y:S)) -> ffalse a__geq(s(X:S),s(Y:S)) -> a__geq(X:S,Y:S) a__geq(X:S,0) -> ttrue a__geq(X1:S,X2:S) -> geq(X1:S,X2:S) a__if(ffalse,X:S,Y:S) -> mark(Y:S) a__if(ttrue,X:S,Y:S) -> mark(X:S) a__if(X1:S,X2:S,X3:S) -> if(X1:S,X2:S,X3:S) a__minus(0,Y:S) -> 0 a__minus(s(X:S),s(Y:S)) -> a__minus(X:S,Y:S) a__minus(X1:S,X2:S) -> minus(X1:S,X2:S) mark(0) -> 0 mark(div(X1:S,X2:S)) -> a__div(mark(X1:S),X2:S) mark(ffalse) -> ffalse mark(geq(X1:S,X2:S)) -> a__geq(X1:S,X2:S) mark(if(X1:S,X2:S,X3:S)) -> a__if(mark(X1:S),X2:S,X3:S) mark(minus(X1:S,X2:S)) -> a__minus(X1:S,X2:S) mark(s(X:S)) -> s(mark(X:S)) mark(ttrue) -> ttrue Problem 1: SCC Processor: -> Pairs: A__DIV(s(X:S),s(Y:S)) -> A__GEQ(X:S,Y:S) A__DIV(s(X:S),s(Y:S)) -> A__IF(a__geq(X:S,Y:S),s(div(minus(X:S,Y:S),s(Y:S))),0) A__GEQ(s(X:S),s(Y:S)) -> A__GEQ(X:S,Y:S) A__IF(ffalse,X:S,Y:S) -> MARK(Y:S) A__IF(ttrue,X:S,Y:S) -> MARK(X:S) A__MINUS(s(X:S),s(Y:S)) -> A__MINUS(X:S,Y:S) MARK(div(X1:S,X2:S)) -> A__DIV(mark(X1:S),X2:S) MARK(div(X1:S,X2:S)) -> MARK(X1:S) MARK(geq(X1:S,X2:S)) -> A__GEQ(X1:S,X2:S) MARK(if(X1:S,X2:S,X3:S)) -> A__IF(mark(X1:S),X2:S,X3:S) MARK(if(X1:S,X2:S,X3:S)) -> MARK(X1:S) MARK(minus(X1:S,X2:S)) -> A__MINUS(X1:S,X2:S) MARK(s(X:S)) -> MARK(X:S) -> Rules: a__div(0,s(Y:S)) -> 0 a__div(s(X:S),s(Y:S)) -> a__if(a__geq(X:S,Y:S),s(div(minus(X:S,Y:S),s(Y:S))),0) a__div(X1:S,X2:S) -> div(X1:S,X2:S) a__geq(0,s(Y:S)) -> ffalse a__geq(s(X:S),s(Y:S)) -> a__geq(X:S,Y:S) a__geq(X:S,0) -> ttrue a__geq(X1:S,X2:S) -> geq(X1:S,X2:S) a__if(ffalse,X:S,Y:S) -> mark(Y:S) a__if(ttrue,X:S,Y:S) -> mark(X:S) a__if(X1:S,X2:S,X3:S) -> if(X1:S,X2:S,X3:S) a__minus(0,Y:S) -> 0 a__minus(s(X:S),s(Y:S)) -> a__minus(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 Innermost