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TRS Stand 20472 pair #381712840
details
property
value
status
complete
benchmark
24.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n027.star.cs.uiowa.edu
space
Beerendonk_07
run statistics
property
value
solver
Wanda
configuration
FirstOrder
runtime (wallclock)
4.2765750885 seconds
cpu usage
4.259623094
max memory
3.3509376E7
stage attributes
key
value
output-size
1154
starexec-result
MAYBE
output
/export/starexec/sandbox/solver/bin/starexec_run_FirstOrder /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- MAYBE We consider the system theBenchmark. We are asked to determine termination of the following first-order TRS. 0 : [] --> o and : [o * o] --> o cond1 : [o * o * o] --> o cond2 : [o * o * o] --> o cond3 : [o * o * o] --> o cond4 : [o * o * o] --> o false : [] --> o gr : [o * o] --> o p : [o] --> o s : [o] --> o true : [] --> o cond1(true, X, Y) => cond2(gr(X, Y), X, Y) cond2(true, X, Y) => cond3(gr(X, 0), X, Y) cond2(false, X, Y) => cond4(gr(Y, 0), X, Y) cond3(true, X, Y) => cond3(gr(X, 0), p(X), Y) cond3(false, X, Y) => cond1(and(gr(X, 0), gr(Y, 0)), X, Y) cond4(true, X, Y) => cond4(gr(Y, 0), X, p(Y)) cond4(false, X, Y) => cond1(and(gr(X, 0), gr(Y, 0)), X, Y) gr(0, X) => false gr(s(X), 0) => true gr(s(X), s(Y)) => gr(X, Y) and(true, true) => true and(false, X) => false and(X, false) => false p(0) => 0 p(s(X)) => X
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