TRS Stand 20472 pair #381714330

details

property	value
status	complete
benchmark	jw23.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n006.star.cs.uiowa.edu
space	Zantema_05

run statistics

property	value
solver	muterm 5.18
configuration	default
runtime (wallclock)	2.1118221283 seconds
cpu usage	1.780950201
max memory	8925184.0

stage attributes

key	value
output-size	1574
starexec-result	YES

output

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


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


YES

Problem 1: 

(VAR x)
(RULES
f(x,f(a,a)) -> f(f(f(f(a,a),a),x),a)
)

Problem 1: 

Innermost Equivalent Processor:
-> Rules:
 f(x,f(a,a)) -> f(f(f(f(a,a),a),x),a)
-> The term rewriting system is non-overlaping or locally confluent overlay system. Therefore, innermost termination implies termination.
 

Problem 1: 

Dependency Pairs Processor:
-> Pairs:
 F(x,f(a,a)) -> F(f(f(f(a,a),a),x),a)
 F(x,f(a,a)) -> F(f(f(a,a),a),x)
-> Rules:
 f(x,f(a,a)) -> f(f(f(f(a,a),a),x),a)

Problem 1: 

SCC Processor:
-> Pairs:
 F(x,f(a,a)) -> F(f(f(f(a,a),a),x),a)
 F(x,f(a,a)) -> F(f(f(a,a),a),x)
-> Rules:
 f(x,f(a,a)) -> f(f(f(f(a,a),a),x),a)
->Strongly Connected Components:
->->Cycle:
->->-> Pairs:
 F(x,f(a,a)) -> F(f(f(a,a),a),x)
->->-> Rules:
 f(x,f(a,a)) -> f(f(f(f(a,a),a),x),a)

Problem 1: 

Reduction Pairs Processor:
-> Pairs:
 F(x,f(a,a)) -> F(f(f(a,a),a),x)
-> Rules:
 f(x,f(a,a)) -> f(f(f(f(a,a),a),x),a)
-> Usable rules:
 f(x,f(a,a)) -> f(f(f(f(a,a),a),x),a)
->Interpretation type:
 Simple mixed
->Coefficients:
 All rationals
->Dimension:
 1
->Bound:
 2
->Interpretation:
 
[f](X1,X2) = 1/2.X1.X2
[a] = 1
[F](X1,X2) = 2.X1.X2 + 1/2.X2

Problem 1: 

SCC Processor:
-> Pairs:
 Empty
-> Rules:
 f(x,f(a,a)) -> f(f(f(f(a,a),a),x),a)
->Strongly Connected Components:
 There is no strongly connected component

The problem is finite.

popout

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

job log

popout

actions all output return to TRS Stand 20472