TRS Conditional pair #487562985

details

property	value
status	complete
benchmark	ex3-muterm14.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n139.star.cs.uiowa.edu
space	Mixed_CTRS_2014

run statistics

property	value
solver	muterm 6.0.3
configuration	default
runtime (wallclock)	201.357388973 seconds
cpu usage	200.499188093
max memory	3.01154304E8

stage attributes

key	value
output-size	2923
starexec-result	NO

output

/export/starexec/sandbox2/solver/bin/starexec_run_default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files


--------------------------------------------------------------------------------


NO

Problem 1: 

(VAR v_NonEmpty:S x:S)
(RULES
a -> b | a ->* c, b ->* c
f(x:S) -> g(a)
g(x:S) -> f(x:S)
)

Problem 1: 
Valid CTRS Processor:
-> Rules:
 a -> b | a ->* c, b ->* c
 f(x:S) -> g(a)
 g(x:S) -> f(x:S)
-> The system is a deterministic 3-CTRS.

Problem 1: 

Dependency Pairs Processor:

Conditional Termination Problem 1:
-> Pairs:
 F(x:S) -> A
 F(x:S) -> G(a)
 G(x:S) -> F(x:S)
-> QPairs:
 Empty
-> Rules:
 a -> b | a ->* c, b ->* c
 f(x:S) -> g(a)
 g(x:S) -> f(x:S)

Conditional Termination Problem 2:
-> Pairs:
 A -> A
-> QPairs:
 Empty
-> Rules:
 a -> b | a ->* c, b ->* c
 f(x:S) -> g(a)
 g(x:S) -> f(x:S)

Problem 1: 

SCC Processor:
-> Pairs:
 F(x:S) -> A
 F(x:S) -> G(a)
 G(x:S) -> F(x:S)
-> QPairs:
 Empty
-> Rules:
 a -> b | a ->* c, b ->* c
 f(x:S) -> g(a)
 g(x:S) -> f(x:S)
->Strongly Connected Components:
->->Cycle:
->->-> Pairs:
 F(x:S) -> G(a)
 G(x:S) -> F(x:S)
-> QPairs:
 Empty
->->-> Rules:
 a -> b | a ->* c, b ->* c
 f(x:S) -> g(a)
 g(x:S) -> f(x:S)

Problem 1: 

Unsatisfiable Rule Processor:
-> Pairs:
 F(x:S) -> G(a)
 G(x:S) -> F(x:S)
-> QPairs:
 Empty
-> Rules:
 a -> b | a ->* c, b ->* c
 f(x:S) -> g(a)
 g(x:S) -> f(x:S)
->AGES Output:
 
Model Results

System:
mod InTheory is
  sorts S Bool .

op _->*_ : S S -> Bool .
op _->_ : S S -> Bool .
op a :  -> S .
op f : S -> S .

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