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TRS_Innermost 2019-03-28 22.12 pair #432270747
details
property
value
status
complete
benchmark
test77.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n171.star.cs.uiowa.edu
space
Mixed_innermost
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.196992 seconds
cpu usage
0.160324
user time
0.094097
system time
0.066227
max virtual memory
113176.0
max residence set size
6092.0
stage attributes
key
value
starexec-result
YES
output
0.00/0.19 YES 0.00/0.19 0.00/0.19 Problem 1: 0.00/0.19 0.00/0.19 (VAR v_NonEmpty:S X:S Y:S) 0.00/0.19 (RULES 0.00/0.19 +(X:S,0) -> X:S 0.00/0.19 +(X:S,s(Y:S)) -> s(+(X:S,Y:S)) 0.00/0.19 double(X:S) -> +(X:S,X:S) 0.00/0.19 f(0,s(0),X:S) -> f(X:S,double(X:S),X:S) 0.00/0.19 g(X:S,Y:S) -> X:S 0.00/0.19 g(X:S,Y:S) -> Y:S 0.00/0.19 ) 0.00/0.19 (STRATEGY INNERMOST) 0.00/0.19 0.00/0.19 Problem 1: 0.00/0.19 0.00/0.19 Dependency Pairs Processor: 0.00/0.19 -> Pairs: 0.00/0.19 +#(X:S,s(Y:S)) -> +#(X:S,Y:S) 0.00/0.19 DOUBLE(X:S) -> +#(X:S,X:S) 0.00/0.19 F(0,s(0),X:S) -> DOUBLE(X:S) 0.00/0.19 F(0,s(0),X:S) -> F(X:S,double(X:S),X:S) 0.00/0.19 -> Rules: 0.00/0.19 +(X:S,0) -> X:S 0.00/0.19 +(X:S,s(Y:S)) -> s(+(X:S,Y:S)) 0.00/0.19 double(X:S) -> +(X:S,X:S) 0.00/0.19 f(0,s(0),X:S) -> f(X:S,double(X:S),X:S) 0.00/0.19 g(X:S,Y:S) -> X:S 0.00/0.19 g(X:S,Y:S) -> Y:S 0.00/0.19 0.00/0.19 Problem 1: 0.00/0.19 0.00/0.19 SCC Processor: 0.00/0.19 -> Pairs: 0.00/0.19 +#(X:S,s(Y:S)) -> +#(X:S,Y:S) 0.00/0.19 DOUBLE(X:S) -> +#(X:S,X:S) 0.00/0.19 F(0,s(0),X:S) -> DOUBLE(X:S) 0.00/0.19 F(0,s(0),X:S) -> F(X:S,double(X:S),X:S) 0.00/0.19 -> Rules: 0.00/0.19 +(X:S,0) -> X:S 0.00/0.19 +(X:S,s(Y:S)) -> s(+(X:S,Y:S)) 0.00/0.19 double(X:S) -> +(X:S,X:S) 0.00/0.19 f(0,s(0),X:S) -> f(X:S,double(X:S),X:S) 0.00/0.19 g(X:S,Y:S) -> X:S 0.00/0.19 g(X:S,Y:S) -> Y:S 0.00/0.19 ->Strongly Connected Components: 0.00/0.19 ->->Cycle: 0.00/0.19 ->->-> Pairs: 0.00/0.19 +#(X:S,s(Y:S)) -> +#(X:S,Y:S) 0.00/0.19 ->->-> Rules: 0.00/0.19 +(X:S,0) -> X:S 0.00/0.19 +(X:S,s(Y:S)) -> s(+(X:S,Y:S)) 0.00/0.19 double(X:S) -> +(X:S,X:S) 0.00/0.19 f(0,s(0),X:S) -> f(X:S,double(X:S),X:S) 0.00/0.19 g(X:S,Y:S) -> X:S 0.00/0.19 g(X:S,Y:S) -> Y:S 0.00/0.19 ->->Cycle: 0.00/0.19 ->->-> Pairs: 0.00/0.19 F(0,s(0),X:S) -> F(X:S,double(X:S),X:S) 0.00/0.19 ->->-> Rules: 0.00/0.19 +(X:S,0) -> X:S 0.00/0.19 +(X:S,s(Y:S)) -> s(+(X:S,Y:S)) 0.00/0.19 double(X:S) -> +(X:S,X:S) 0.00/0.19 f(0,s(0),X:S) -> f(X:S,double(X:S),X:S) 0.00/0.19 g(X:S,Y:S) -> X:S 0.00/0.19 g(X:S,Y:S) -> Y:S 0.00/0.19 0.00/0.19 0.00/0.19 The problem is decomposed in 2 subproblems. 0.00/0.19 0.00/0.19 Problem 1.1: 0.00/0.19 0.00/0.19 Subterm Processor: 0.00/0.19 -> Pairs: 0.00/0.19 +#(X:S,s(Y:S)) -> +#(X:S,Y:S) 0.00/0.19 -> Rules: 0.00/0.19 +(X:S,0) -> X:S 0.00/0.19 +(X:S,s(Y:S)) -> s(+(X:S,Y:S)) 0.00/0.19 double(X:S) -> +(X:S,X:S) 0.00/0.19 f(0,s(0),X:S) -> f(X:S,double(X:S),X:S) 0.00/0.19 g(X:S,Y:S) -> X:S 0.00/0.19 g(X:S,Y:S) -> Y:S 0.00/0.19 ->Projection: 0.00/0.19 pi(+#) = 2 0.00/0.19 0.00/0.19 Problem 1.1: 0.00/0.19 0.00/0.19 SCC Processor: 0.00/0.19 -> Pairs: 0.00/0.19 Empty 0.00/0.19 -> Rules: 0.00/0.19 +(X:S,0) -> X:S 0.00/0.19 +(X:S,s(Y:S)) -> s(+(X:S,Y:S)) 0.00/0.19 double(X:S) -> +(X:S,X:S) 0.00/0.19 f(0,s(0),X:S) -> f(X:S,double(X:S),X:S) 0.00/0.19 g(X:S,Y:S) -> X:S 0.00/0.19 g(X:S,Y:S) -> Y:S 0.00/0.19 ->Strongly Connected Components: 0.00/0.19 There is no strongly connected component
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