details

property	value
status	complete
benchmark	AC28.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n147.star.cs.uiowa.edu
space	AProVE_AC_04

run statistics

property	value
solver	muterm 5.18
configuration	default
runtime (wallclock)	30.4886 seconds
cpu usage	30.4753
user time	29.768
system time	0.707358
max virtual memory	1284312.0
max residence set size	493604.0

stage attributes

key	value
starexec-result	YES

output

YES Problem 1: (VAR X Y Z x y) (THEORY (AC union)) (RULES max(union(singl(s(x)),singl(s(y)))) -> s(max(union(singl(x),singl(y)))) max(union(singl(x),union(Y,Z))) -> max(union(singl(x),singl(max(union(Y,Z))))) max(union(singl(x),singl(0))) -> x max(singl(x)) -> x union(empty,X) -> X ) Problem 1: Reduction Order Processor: -> Rules: max(union(singl(s(x)),singl(s(y)))) -> s(max(union(singl(x),singl(y)))) max(union(singl(x),union(Y,Z))) -> max(union(singl(x),singl(max(union(Y,Z))))) max(union(singl(x),singl(0))) -> x max(singl(x)) -> x union(empty,X) -> X ->Interpretation type: Linear ->Coefficients: Natural Numbers ->Dimension: 1 ->Bound: 2 ->Interpretation: [max](X) = X [union](X1,X2) = X1 + X2 + 1 [0] = 0 [empty] = 0 [s](X) = X + 1 [singl](X) = X Problem 1: Reduction Order Processor: -> Rules: max(union(singl(x),union(Y,Z))) -> max(union(singl(x),singl(max(union(Y,Z))))) max(union(singl(x),singl(0))) -> x max(singl(x)) -> x union(empty,X) -> X ->Interpretation type: Linear ->Coefficients: Natural Numbers ->Dimension: 1 ->Bound: 2 ->Interpretation: [max](X) = X [union](X1,X2) = X1 + X2 [0] = 2 [empty] = 0 [s](X) = 2.X [singl](X) = X Problem 1: Reduction Order Processor: -> Rules: max(union(singl(x),union(Y,Z))) -> max(union(singl(x),singl(max(union(Y,Z))))) max(singl(x)) -> x union(empty,X) -> X ->Interpretation type: Linear ->Coefficients: Natural Numbers ->Dimension: 1 ->Bound: 2 ->Interpretation: [max](X) = X [union](X1,X2) = X1 + X2 + 1 [0] = 0 [empty] = 2 [s](X) = 2.X [singl](X) = X Problem 1: Dependency Pairs Processor: -> FAxioms: UNION(union(x5,x6),x7) = UNION(x5,union(x6,x7)) UNION(x5,x6) = UNION(x6,x5) -> Pairs: MAX(union(singl(x),union(Y,Z))) -> MAX(union(singl(x),singl(max(union(Y,Z))))) MAX(union(singl(x),union(Y,Z))) -> MAX(union(Y,Z)) MAX(union(singl(x),union(Y,Z))) -> UNION(singl(x),singl(max(union(Y,Z)))) popout

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

job log

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actions

all output return to TRS Equational