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TRS_Innermost 2019-03-28 22.12 pair #432271411
details
property
value
status
complete
benchmark
#4.33.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n179.star.cs.uiowa.edu
space
AG01_innermost
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.0860561 seconds
cpu usage
0.073847
user time
0.031933
system time
0.041914
max virtual memory
113176.0
max residence set size
5508.0
stage attributes
key
value
starexec-result
YES
output
0.00/0.08 YES 0.00/0.08 0.00/0.08 Problem 1: 0.00/0.08 0.00/0.08 (VAR v_NonEmpty:S m:S n:S x:S y:S) 0.00/0.08 (RULES 0.00/0.08 sum(cons(0,x:S),y:S) -> sum(x:S,y:S) 0.00/0.08 sum(cons(s(n:S),x:S),cons(m:S,y:S)) -> sum(cons(n:S,x:S),cons(s(m:S),y:S)) 0.00/0.08 sum(nil,y:S) -> y:S 0.00/0.08 weight(cons(n:S,cons(m:S,x:S))) -> weight(sum(cons(n:S,cons(m:S,x:S)),cons(0,x:S))) 0.00/0.08 weight(cons(n:S,nil)) -> n:S 0.00/0.08 ) 0.00/0.08 (STRATEGY INNERMOST) 0.00/0.08 0.00/0.08 Problem 1: 0.00/0.08 0.00/0.08 Dependency Pairs Processor: 0.00/0.08 -> Pairs: 0.00/0.08 SUM(cons(0,x:S),y:S) -> SUM(x:S,y:S) 0.00/0.08 SUM(cons(s(n:S),x:S),cons(m:S,y:S)) -> SUM(cons(n:S,x:S),cons(s(m:S),y:S)) 0.00/0.08 WEIGHT(cons(n:S,cons(m:S,x:S))) -> SUM(cons(n:S,cons(m:S,x:S)),cons(0,x:S)) 0.00/0.08 WEIGHT(cons(n:S,cons(m:S,x:S))) -> WEIGHT(sum(cons(n:S,cons(m:S,x:S)),cons(0,x:S))) 0.00/0.08 -> Rules: 0.00/0.08 sum(cons(0,x:S),y:S) -> sum(x:S,y:S) 0.00/0.08 sum(cons(s(n:S),x:S),cons(m:S,y:S)) -> sum(cons(n:S,x:S),cons(s(m:S),y:S)) 0.00/0.08 sum(nil,y:S) -> y:S 0.00/0.08 weight(cons(n:S,cons(m:S,x:S))) -> weight(sum(cons(n:S,cons(m:S,x:S)),cons(0,x:S))) 0.00/0.08 weight(cons(n:S,nil)) -> n:S 0.00/0.08 0.00/0.08 Problem 1: 0.00/0.08 0.00/0.08 SCC Processor: 0.00/0.08 -> Pairs: 0.00/0.08 SUM(cons(0,x:S),y:S) -> SUM(x:S,y:S) 0.00/0.08 SUM(cons(s(n:S),x:S),cons(m:S,y:S)) -> SUM(cons(n:S,x:S),cons(s(m:S),y:S)) 0.00/0.08 WEIGHT(cons(n:S,cons(m:S,x:S))) -> SUM(cons(n:S,cons(m:S,x:S)),cons(0,x:S)) 0.00/0.08 WEIGHT(cons(n:S,cons(m:S,x:S))) -> WEIGHT(sum(cons(n:S,cons(m:S,x:S)),cons(0,x:S))) 0.00/0.08 -> Rules: 0.00/0.08 sum(cons(0,x:S),y:S) -> sum(x:S,y:S) 0.00/0.08 sum(cons(s(n:S),x:S),cons(m:S,y:S)) -> sum(cons(n:S,x:S),cons(s(m:S),y:S)) 0.00/0.08 sum(nil,y:S) -> y:S 0.00/0.08 weight(cons(n:S,cons(m:S,x:S))) -> weight(sum(cons(n:S,cons(m:S,x:S)),cons(0,x:S))) 0.00/0.08 weight(cons(n:S,nil)) -> n:S 0.00/0.08 ->Strongly Connected Components: 0.00/0.08 ->->Cycle: 0.00/0.08 ->->-> Pairs: 0.00/0.08 SUM(cons(0,x:S),y:S) -> SUM(x:S,y:S) 0.00/0.08 SUM(cons(s(n:S),x:S),cons(m:S,y:S)) -> SUM(cons(n:S,x:S),cons(s(m:S),y:S)) 0.00/0.08 ->->-> Rules: 0.00/0.08 sum(cons(0,x:S),y:S) -> sum(x:S,y:S) 0.00/0.08 sum(cons(s(n:S),x:S),cons(m:S,y:S)) -> sum(cons(n:S,x:S),cons(s(m:S),y:S)) 0.00/0.08 sum(nil,y:S) -> y:S 0.00/0.08 weight(cons(n:S,cons(m:S,x:S))) -> weight(sum(cons(n:S,cons(m:S,x:S)),cons(0,x:S))) 0.00/0.08 weight(cons(n:S,nil)) -> n:S 0.00/0.08 ->->Cycle: 0.00/0.08 ->->-> Pairs: 0.00/0.08 WEIGHT(cons(n:S,cons(m:S,x:S))) -> WEIGHT(sum(cons(n:S,cons(m:S,x:S)),cons(0,x:S))) 0.00/0.08 ->->-> Rules: 0.00/0.08 sum(cons(0,x:S),y:S) -> sum(x:S,y:S) 0.00/0.08 sum(cons(s(n:S),x:S),cons(m:S,y:S)) -> sum(cons(n:S,x:S),cons(s(m:S),y:S)) 0.00/0.08 sum(nil,y:S) -> y:S 0.00/0.08 weight(cons(n:S,cons(m:S,x:S))) -> weight(sum(cons(n:S,cons(m:S,x:S)),cons(0,x:S))) 0.00/0.08 weight(cons(n:S,nil)) -> n:S 0.00/0.08 0.00/0.08 0.00/0.08 The problem is decomposed in 2 subproblems. 0.00/0.08 0.00/0.08 Problem 1.1: 0.00/0.08 0.00/0.08 Reduction Pairs Processor: 0.00/0.08 -> Pairs: 0.00/0.08 SUM(cons(0,x:S),y:S) -> SUM(x:S,y:S) 0.00/0.08 SUM(cons(s(n:S),x:S),cons(m:S,y:S)) -> SUM(cons(n:S,x:S),cons(s(m:S),y:S)) 0.00/0.08 -> Rules: 0.00/0.08 sum(cons(0,x:S),y:S) -> sum(x:S,y:S) 0.00/0.08 sum(cons(s(n:S),x:S),cons(m:S,y:S)) -> sum(cons(n:S,x:S),cons(s(m:S),y:S)) 0.00/0.08 sum(nil,y:S) -> y:S 0.00/0.08 weight(cons(n:S,cons(m:S,x:S))) -> weight(sum(cons(n:S,cons(m:S,x:S)),cons(0,x:S))) 0.00/0.08 weight(cons(n:S,nil)) -> n:S 0.00/0.08 -> Usable rules: 0.00/0.08 Empty 0.00/0.08 ->Interpretation type: 0.00/0.08 Linear 0.00/0.08 ->Coefficients: 0.00/0.08 Natural Numbers 0.00/0.08 ->Dimension: 0.00/0.08 1 0.00/0.08 ->Bound: 0.00/0.08 2 0.00/0.08 ->Interpretation: 0.00/0.08 0.00/0.08 [sum](X1,X2) = 0 0.00/0.08 [weight](X) = 0 0.00/0.08 [0] = 2 0.00/0.08 [cons](X1,X2) = 2.X2 + 2 0.00/0.08 [fSNonEmpty] = 0 0.00/0.08 [nil] = 0 0.00/0.08 [s](X) = 2.X + 2 0.00/0.08 [SUM](X1,X2) = 2.X1 0.00/0.08 [WEIGHT](X) = 0
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return to TRS_Innermost 2019-03-28 22.12
