TRS Conditional pair #487562879

details

property	value
status	complete
benchmark	355.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n184.star.cs.uiowa.edu
space	COPS

run statistics

property	value
solver	muterm 6.0.3
configuration	default
runtime (wallclock)	20.2662148476 seconds
cpu usage	20.241032789
max memory	2.93060608E8

stage attributes

key	value
output-size	1928
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)
(RULES
a -> b | a ->* b
)

Problem 1: 
Valid CTRS Processor:
-> Rules:
 a -> b | a ->* b
-> The system is a deterministic 3-CTRS.

Problem 1: 

Dependency Pairs Processor:

Conditional Termination Problem 1:
-> Pairs:
 Empty
-> QPairs:
 Empty
-> Rules:
 a -> b | a ->* b

Conditional Termination Problem 2:
-> Pairs:
 A -> A
-> QPairs:
 Empty
-> Rules:
 a -> b | a ->* b

Problem 1: 

SCC Processor:
-> Pairs:
 A -> A
-> QPairs:
 Empty
-> Rules:
 a -> b | a ->* b
->Strongly Connected Components:
->->Cycle:
->->-> Pairs:
 A -> A
-> QPairs:
 Empty
->->-> Rules:
 a -> b | a ->* b

Problem 1: 

Unsatisfiable Rule Processor:
-> Pairs:
 A -> A
-> QPairs:
 Empty
-> Rules:
 a -> b | a ->* b
->AGES Output:
 
Model Results

System:
mod InTheory is
  sorts S Bool .

op _->*_ : S S -> Bool .
op _->_ : S S -> Bool .
op a :  -> S .
op b :  -> S .
op fSNonEmpty :  -> S .
op gtrsim : S S -> Bool .
op sqsupset : S S -> Bool .

endm


Property:
x:S ->R* x:S
x:S ->R y:S /\ y:S ->R* z:S => x:S ->R* z:S
gtrsim(x:S,y:S) /\ sqsupset(y:S,z:S) => sqsupset(x:S,z:S)
a ->R* b => a ->R b
x:S ->R y:S => gtrsim(x:S,y:S)
sqsupset(b,a)

Results:


Domains:
S: -|N U {1}

popout

output may be truncated. 'popout' for the full output.

job log

popout

actions all output return to TRS Conditional