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TRS_Conditional 2019-03-28 22.59 pair #432272512
details
property
value
status
complete
benchmark
407.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n055.star.cs.uiowa.edu
space
COPS
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
43.3397 seconds
cpu usage
43.2622
user time
42.2575
system time
1.00475
max virtual memory
1143316.0
max residence set size
346348.0
stage attributes
key
value
starexec-result
NO
output
43.23/43.33 NO 43.23/43.33 43.23/43.33 Problem 1: 43.23/43.33 43.23/43.33 (VAR v_NonEmpty:S x:S y:S) 43.23/43.33 (RULES 43.23/43.33 b -> b 43.23/43.33 f(x:S,y:S) -> g(x:S) | c(g(x:S)) ->* c(a) 43.23/43.33 f(x:S,y:S) -> h(x:S) | c(h(x:S)) ->* c(a) 43.23/43.33 g(s(x:S)) -> x:S 43.23/43.33 h(s(x:S)) -> x:S 43.23/43.33 ) 43.23/43.33 43.23/43.33 Problem 1: 43.23/43.33 Valid CTRS Processor: 43.23/43.33 -> Rules: 43.23/43.33 b -> b 43.23/43.33 f(x:S,y:S) -> g(x:S) | c(g(x:S)) ->* c(a) 43.23/43.33 f(x:S,y:S) -> h(x:S) | c(h(x:S)) ->* c(a) 43.23/43.33 g(s(x:S)) -> x:S 43.23/43.33 h(s(x:S)) -> x:S 43.23/43.33 -> The system is a deterministic 3-CTRS. 43.23/43.33 43.23/43.33 Problem 1: 43.23/43.33 43.23/43.33 Dependency Pairs Processor: 43.23/43.33 43.23/43.33 Conditional Termination Problem 1: 43.23/43.33 -> Pairs: 43.23/43.33 B -> B 43.23/43.33 F(x:S,y:S) -> G(x:S) | c(g(x:S)) ->* c(a) 43.23/43.33 F(x:S,y:S) -> H(x:S) | c(h(x:S)) ->* c(a) 43.23/43.33 -> QPairs: 43.23/43.33 Empty 43.23/43.33 -> Rules: 43.23/43.33 b -> b 43.23/43.33 f(x:S,y:S) -> g(x:S) | c(g(x:S)) ->* c(a) 43.23/43.33 f(x:S,y:S) -> h(x:S) | c(h(x:S)) ->* c(a) 43.23/43.33 g(s(x:S)) -> x:S 43.23/43.33 h(s(x:S)) -> x:S 43.23/43.33 43.23/43.33 Conditional Termination Problem 2: 43.23/43.33 -> Pairs: 43.23/43.33 F(x:S,y:S) -> G(x:S) 43.23/43.33 F(x:S,y:S) -> H(x:S) 43.23/43.33 -> QPairs: 43.23/43.33 Empty 43.23/43.33 -> Rules: 43.23/43.33 b -> b 43.23/43.33 f(x:S,y:S) -> g(x:S) | c(g(x:S)) ->* c(a) 43.23/43.33 f(x:S,y:S) -> h(x:S) | c(h(x:S)) ->* c(a) 43.23/43.33 g(s(x:S)) -> x:S 43.23/43.33 h(s(x:S)) -> x:S 43.23/43.33 43.23/43.33 Problem 1: 43.23/43.33 43.23/43.33 SCC Processor: 43.23/43.33 -> Pairs: 43.23/43.33 B -> B 43.23/43.33 F(x:S,y:S) -> G(x:S) | c(g(x:S)) ->* c(a) 43.23/43.33 F(x:S,y:S) -> H(x:S) | c(h(x:S)) ->* c(a) 43.23/43.33 -> QPairs: 43.23/43.33 Empty 43.23/43.33 -> Rules: 43.23/43.33 b -> b 43.23/43.33 f(x:S,y:S) -> g(x:S) | c(g(x:S)) ->* c(a) 43.23/43.33 f(x:S,y:S) -> h(x:S) | c(h(x:S)) ->* c(a) 43.23/43.33 g(s(x:S)) -> x:S 43.23/43.33 h(s(x:S)) -> x:S 43.23/43.33 ->Strongly Connected Components: 43.23/43.33 ->->Cycle: 43.23/43.33 ->->-> Pairs: 43.23/43.33 B -> B 43.23/43.33 -> QPairs: 43.23/43.33 Empty 43.23/43.33 ->->-> Rules: 43.23/43.33 b -> b 43.23/43.33 f(x:S,y:S) -> g(x:S) | c(g(x:S)) ->* c(a) 43.23/43.33 f(x:S,y:S) -> h(x:S) | c(h(x:S)) ->* c(a) 43.23/43.33 g(s(x:S)) -> x:S 43.23/43.33 h(s(x:S)) -> x:S 43.23/43.33 43.23/43.33 Problem 1: 43.23/43.33 43.23/43.33 Infinite Processor: 43.23/43.33 -> Pairs: 43.23/43.33 B -> B 43.23/43.33 -> QPairs: 43.23/43.33 Empty 43.23/43.33 -> Rules: 43.23/43.33 b -> b 43.23/43.33 f(x:S,y:S) -> g(x:S) | c(g(x:S)) ->* c(a) 43.23/43.33 f(x:S,y:S) -> h(x:S) | c(h(x:S)) ->* c(a) 43.23/43.33 g(s(x:S)) -> x:S 43.23/43.33 h(s(x:S)) -> x:S 43.23/43.33 -> Pairs in cycle: 43.23/43.33 B -> B 43.23/43.33 43.23/43.33 The problem is infinite. 43.23/43.33 EOF
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