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TRS_Equational 2019-03-21 05.09 pair #429997271
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
n170.star.cs.uiowa.edu
space
AProVE_AC_04
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
30.4815 seconds
cpu usage
30.5026
user time
29.7697
system time
0.732936
max virtual memory
1284260.0
max residence set size
493600.0
stage attributes
key
value
starexec-result
YES
output
30.38/30.47 YES 30.38/30.47 30.38/30.47 Problem 1: 30.38/30.47 30.38/30.47 (VAR X Y Z x y) 30.38/30.47 (THEORY 30.38/30.47 (AC union)) 30.38/30.47 (RULES 30.38/30.47 max(union(singl(s(x)),singl(s(y)))) -> s(max(union(singl(x),singl(y)))) 30.38/30.47 max(union(singl(x),union(Y,Z))) -> max(union(singl(x),singl(max(union(Y,Z))))) 30.38/30.47 max(union(singl(x),singl(0))) -> x 30.38/30.47 max(singl(x)) -> x 30.38/30.47 union(empty,X) -> X 30.38/30.47 ) 30.38/30.47 30.38/30.47 Problem 1: 30.38/30.47 30.38/30.47 Reduction Order Processor: 30.38/30.47 -> Rules: 30.38/30.47 max(union(singl(s(x)),singl(s(y)))) -> s(max(union(singl(x),singl(y)))) 30.38/30.47 max(union(singl(x),union(Y,Z))) -> max(union(singl(x),singl(max(union(Y,Z))))) 30.38/30.47 max(union(singl(x),singl(0))) -> x 30.38/30.47 max(singl(x)) -> x 30.38/30.47 union(empty,X) -> X 30.38/30.47 ->Interpretation type: 30.38/30.47 Linear 30.38/30.47 ->Coefficients: 30.38/30.47 Natural Numbers 30.38/30.47 ->Dimension: 30.38/30.47 1 30.38/30.47 ->Bound: 30.38/30.47 2 30.38/30.47 ->Interpretation: 30.38/30.47 30.38/30.47 [max](X) = X 30.38/30.47 [union](X1,X2) = X1 + X2 + 1 30.38/30.47 [0] = 0 30.38/30.47 [empty] = 0 30.38/30.47 [s](X) = X + 1 30.38/30.47 [singl](X) = X 30.38/30.47 30.38/30.47 Problem 1: 30.38/30.47 30.38/30.47 Reduction Order Processor: 30.38/30.47 -> Rules: 30.38/30.47 max(union(singl(x),union(Y,Z))) -> max(union(singl(x),singl(max(union(Y,Z))))) 30.38/30.47 max(union(singl(x),singl(0))) -> x 30.38/30.47 max(singl(x)) -> x 30.38/30.47 union(empty,X) -> X 30.38/30.47 ->Interpretation type: 30.38/30.47 Linear 30.38/30.47 ->Coefficients: 30.38/30.47 Natural Numbers 30.38/30.47 ->Dimension: 30.38/30.47 1 30.38/30.47 ->Bound: 30.38/30.47 2 30.38/30.47 ->Interpretation: 30.38/30.47 30.38/30.47 [max](X) = X 30.38/30.47 [union](X1,X2) = X1 + X2 30.38/30.47 [0] = 2 30.38/30.47 [empty] = 0 30.38/30.47 [s](X) = 2.X 30.38/30.47 [singl](X) = X 30.38/30.47 30.38/30.47 Problem 1: 30.38/30.47 30.38/30.47 Reduction Order Processor: 30.38/30.47 -> Rules: 30.38/30.47 max(union(singl(x),union(Y,Z))) -> max(union(singl(x),singl(max(union(Y,Z))))) 30.38/30.47 max(singl(x)) -> x 30.38/30.47 union(empty,X) -> X 30.38/30.47 ->Interpretation type: 30.38/30.47 Linear 30.38/30.47 ->Coefficients: 30.38/30.47 Natural Numbers 30.38/30.47 ->Dimension: 30.38/30.47 1 30.38/30.47 ->Bound: 30.38/30.47 2 30.38/30.47 ->Interpretation: 30.38/30.47 30.38/30.47 [max](X) = X 30.38/30.47 [union](X1,X2) = X1 + X2 + 1 30.38/30.47 [0] = 0 30.38/30.47 [empty] = 2 30.38/30.47 [s](X) = 2.X 30.38/30.47 [singl](X) = X 30.38/30.47 30.38/30.47 Problem 1: 30.38/30.47 30.38/30.47 Dependency Pairs Processor: 30.38/30.47 -> FAxioms: 30.38/30.47 UNION(union(x5,x6),x7) = UNION(x5,union(x6,x7)) 30.38/30.47 UNION(x5,x6) = UNION(x6,x5) 30.38/30.47 -> Pairs: 30.38/30.47 MAX(union(singl(x),union(Y,Z))) -> MAX(union(singl(x),singl(max(union(Y,Z))))) 30.38/30.47 MAX(union(singl(x),union(Y,Z))) -> MAX(union(Y,Z)) 30.38/30.47 MAX(union(singl(x),union(Y,Z))) -> UNION(singl(x),singl(max(union(Y,Z))))
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