TRS Condi 20667 pair #381733082

details

property	value
status	complete
benchmark	ohl.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n024.star.cs.uiowa.edu
space	Mixed_CTRS_2014

run statistics

property	value
solver	muterm 5.18
configuration	default
runtime (wallclock)	2.28186511993 seconds
cpu usage	2.201183477
max memory	4.3597824E7

stage attributes

key	value
output-size	3456
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 y)
(RULES
f(k(a),k(b),x) -> f(x,x,x)
g(x) -> k(y) | h(x) -> d, h(x) -> c(y)
h(d) -> c(a)
h(d) -> c(b)
)

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

Problem 1: 

Dependency Pairs Processor:

Conditional Termination Problem 1:
-> Pairs:
 F(k(a),k(b),x) -> F(x,x,x)
-> QPairs:
 Empty
-> Rules:
 f(k(a),k(b),x) -> f(x,x,x)
 g(x) -> k(y) | h(x) -> d, h(x) -> c(y)
 h(d) -> c(a)
 h(d) -> c(b)

Conditional Termination Problem 2:
-> Pairs:
 G(x) -> H(x)
 G(x) -> H(x) | h(x) -> d
-> QPairs:
 F(k(a),k(b),x) -> F(x,x,x)
-> Rules:
 f(k(a),k(b),x) -> f(x,x,x)
 g(x) -> k(y) | h(x) -> d, h(x) -> c(y)
 h(d) -> c(a)
 h(d) -> c(b)


The problem is decomposed in 2 subproblems.

Problem 1.1: 

SCC Processor:
-> Pairs:
 F(k(a),k(b),x) -> F(x,x,x)
-> QPairs:
 Empty
-> Rules:
 f(k(a),k(b),x) -> f(x,x,x)
 g(x) -> k(y) | h(x) -> d, h(x) -> c(y)
 h(d) -> c(a)
 h(d) -> c(b)
->Strongly Connected Components:
->->Cycle:
->->-> Pairs:
 F(k(a),k(b),x) -> F(x,x,x)
->->-> Rules:
 f(k(a),k(b),x) -> f(x,x,x)
 g(x) -> k(y) | h(x) -> d, h(x) -> c(y)
 h(d) -> c(a)
 h(d) -> c(b)

Problem 1.1: 

Unsatisfiable Rule Processor:
-> Pairs:
 F(k(a),k(b),x) -> F(x,x,x)
-> QPairs:
 Empty
-> Rules:
 f(k(a),k(b),x) -> f(x,x,x)
 g(x) -> k(y) | h(x) -> d, h(x) -> c(y)
 h(d) -> c(a)
 h(d) -> c(b)
->Interpretation type:
 Linear
->Coefficients:
 Natural Numbers
->Dimension:
 1
->Bound:
 2
->Interpretation:

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