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TRS_Conditional 2019-03-28 22.59 pair #432272658
details
property
value
status
complete
benchmark
jlap09-ex17.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n124.star.cs.uiowa.edu
space
Mixed_CTRS_2014
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
120.821 seconds
cpu usage
120.673
user time
114.899
system time
5.77316
max virtual memory
1133428.0
max residence set size
43312.0
stage attributes
key
value
starexec-result
YES
output
120.61/120.81 YES 120.61/120.81 120.61/120.81 Problem 1: 120.61/120.81 120.61/120.81 (VAR v_NonEmpty:S x:S y:S) 120.61/120.81 (RULES 120.61/120.81 a -> h(b) 120.61/120.81 a -> h(c) 120.61/120.81 f(x:S) -> y:S | a ->* h(y:S) 120.61/120.81 g(x:S,b) -> g(f(c),x:S) | f(b) ->* x:S, x:S ->* c 120.61/120.81 ) 120.61/120.81 120.61/120.81 Problem 1: 120.61/120.81 Valid CTRS Processor: 120.61/120.81 -> Rules: 120.61/120.81 a -> h(b) 120.61/120.81 a -> h(c) 120.61/120.81 f(x:S) -> y:S | a ->* h(y:S) 120.61/120.81 g(x:S,b) -> g(f(c),x:S) | f(b) ->* x:S, x:S ->* c 120.61/120.81 -> The system is a deterministic 3-CTRS. 120.61/120.81 120.61/120.81 Problem 1: 120.61/120.81 120.61/120.81 Dependency Pairs Processor: 120.61/120.81 120.61/120.81 Conditional Termination Problem 1: 120.61/120.81 -> Pairs: 120.61/120.81 G(x:S,b) -> F(c) | f(b) ->* x:S, x:S ->* c 120.61/120.81 G(x:S,b) -> G(f(c),x:S) | f(b) ->* x:S, x:S ->* c 120.61/120.81 -> QPairs: 120.61/120.81 Empty 120.61/120.81 -> Rules: 120.61/120.81 a -> h(b) 120.61/120.81 a -> h(c) 120.61/120.81 f(x:S) -> y:S | a ->* h(y:S) 120.61/120.81 g(x:S,b) -> g(f(c),x:S) | f(b) ->* x:S, x:S ->* c 120.61/120.81 120.61/120.81 Conditional Termination Problem 2: 120.61/120.81 -> Pairs: 120.61/120.81 F(x:S) -> A 120.61/120.81 G(x:S,b) -> F(b) 120.61/120.81 -> QPairs: 120.61/120.81 Empty 120.61/120.81 -> Rules: 120.61/120.81 a -> h(b) 120.61/120.81 a -> h(c) 120.61/120.81 f(x:S) -> y:S | a ->* h(y:S) 120.61/120.81 g(x:S,b) -> g(f(c),x:S) | f(b) ->* x:S, x:S ->* c 120.61/120.81 120.61/120.81 120.61/120.81 The problem is decomposed in 2 subproblems. 120.61/120.81 120.61/120.81 Problem 1.1: 120.61/120.81 120.61/120.81 SCC Processor: 120.61/120.81 -> Pairs: 120.61/120.81 G(x:S,b) -> F(c) | f(b) ->* x:S, x:S ->* c 120.61/120.81 G(x:S,b) -> G(f(c),x:S) | f(b) ->* x:S, x:S ->* c 120.61/120.81 -> QPairs: 120.61/120.81 Empty 120.61/120.81 -> Rules: 120.61/120.81 a -> h(b) 120.61/120.81 a -> h(c) 120.61/120.81 f(x:S) -> y:S | a ->* h(y:S) 120.61/120.81 g(x:S,b) -> g(f(c),x:S) | f(b) ->* x:S, x:S ->* c 120.61/120.81 ->Strongly Connected Components: 120.61/120.81 ->->Cycle: 120.61/120.81 ->->-> Pairs: 120.61/120.81 G(x:S,b) -> G(f(c),x:S) | f(b) ->* x:S, x:S ->* c 120.61/120.81 -> QPairs: 120.61/120.81 Empty 120.61/120.81 ->->-> Rules: 120.61/120.81 a -> h(b) 120.61/120.81 a -> h(c) 120.61/120.81 f(x:S) -> y:S | a ->* h(y:S) 120.61/120.81 g(x:S,b) -> g(f(c),x:S) | f(b) ->* x:S, x:S ->* c 120.61/120.81 120.61/120.81 Problem 1.1: 120.61/120.81 120.61/120.81 Simplification and Narrowing on Condition Processor: 120.61/120.81 -> Pairs: 120.61/120.81 G(x:S,b) -> G(f(c),x:S) | f(b) ->* x:S, x:S ->* c 120.61/120.81 -> QPairs: 120.61/120.81 Empty 120.61/120.81 -> Rules: 120.61/120.81 a -> h(b) 120.61/120.81 a -> h(c) 120.61/120.81 f(x:S) -> y:S | a ->* h(y:S) 120.61/120.81 g(x:S,b) -> g(f(c),x:S) | f(b) ->* x:S, x:S ->* c 120.61/120.81 ->Narrowed Pairs: 120.61/120.81 ->->Original Pair: 120.61/120.81 G(x:S,b) -> G(f(c),x:S) | f(b) ->* x:S, x:S ->* c 120.61/120.81 ->-> Narrowed pairs: 120.61/120.81 G(f(b),b) -> G(f(c),f(b)) | f(b) ->* c 120.61/120.81 G(x3:S,b) -> G(f(c),x3:S) | a ->* h(b), b ->* x3:S, x3:S ->* c 120.61/120.81 G(x3:S,b) -> G(f(c),x3:S) | a ->* h(c), c ->* x3:S, x3:S ->* c 120.61/120.81 120.61/120.81 Problem 1.1: 120.61/120.81 120.61/120.81 SCC Processor:
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