TRS Stand 20472 pair #381710783

details

property	value
status	complete
benchmark	matchbox1.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n048.star.cs.uiowa.edu
space	Secret_05_TRS

run statistics

property	value
solver	muterm 5.18
configuration	default
runtime (wallclock)	0.562264204025 seconds
cpu usage	0.406579791
max memory	4702208.0

stage attributes

key	value
output-size	3633
starexec-result	YES

output

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


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


YES

Problem 1: 

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

Problem 1: 

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

Problem 1: 

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

Problem 1: 

Forward Instantiation Processor:
-> Pairs:
 F(f(x,a),y) -> F(x,y)
 F(f(x,a),y) -> F(y,f(x,y))
-> Rules:
 f(f(x,a),y) -> f(y,f(x,y))
->Instantiated Pairs:
->->Original Pair:
 F(f(x,a),y) -> F(x,y)
->-> Instantiated pairs:
 F(f(f(x2,a),a),y) -> F(f(x2,a),y)
 F(f(f(x4,a),a),y) -> F(f(x4,a),y)
->->Original Pair:
 F(f(x,a),y) -> F(y,f(x,y))
->-> Instantiated pairs:
 F(f(x,a),f(x2,a)) -> F(f(x2,a),f(x,f(x2,a)))
 F(f(x,a),f(x4,a)) -> F(f(x4,a),f(x,f(x4,a)))

Problem 1: 

SCC Processor:
-> Pairs:
 F(f(f(x2,a),a),y) -> F(f(x2,a),y)
 F(f(f(x4,a),a),y) -> F(f(x4,a),y)
 F(f(x,a),f(x2,a)) -> F(f(x2,a),f(x,f(x2,a)))
 F(f(x,a),f(x4,a)) -> F(f(x4,a),f(x,f(x4,a)))
-> Rules:
 f(f(x,a),y) -> f(y,f(x,y))
->Strongly Connected Components:
->->Cycle:
->->-> Pairs:
 F(f(f(x2,a),a),y) -> F(f(x2,a),y)
 F(f(f(x4,a),a),y) -> F(f(x4,a),y)
 F(f(x,a),f(x2,a)) -> F(f(x2,a),f(x,f(x2,a)))
 F(f(x,a),f(x4,a)) -> F(f(x4,a),f(x,f(x4,a)))
->->-> Rules:
 f(f(x,a),y) -> f(y,f(x,y))

Problem 1: 

Reduction Pair Processor:
-> Pairs:
 F(f(f(x2,a),a),y) -> F(f(x2,a),y)
 F(f(f(x4,a),a),y) -> F(f(x4,a),y)
 F(f(x,a),f(x2,a)) -> F(f(x2,a),f(x,f(x2,a)))
 F(f(x,a),f(x4,a)) -> F(f(x4,a),f(x,f(x4,a)))
-> Rules:
 f(f(x,a),y) -> f(y,f(x,y))
-> Usable rules:
 f(f(x,a),y) -> f(y,f(x,y))
->Interpretation type:
 Linear
->Coefficients:
 All rationals
->Dimension:
 1
->Bound:
 2

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