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TRS Standard pair #516964727
details
property
value
status
complete
benchmark
bn129.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n173.star.cs.uiowa.edu
space
Rubio_04
run statistics
property
value
solver
NTI_22
configuration
default
runtime (wallclock)
0.3260409832 seconds
cpu usage
0.494291933
max memory
4.165632E7
stage attributes
key
value
output-size
2423
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 ** BEGIN proof argument ** All the DP problems were proved finite. As all the involved DP processors are sound, the TRS under analysis terminates. ** END proof argument ** ** BEGIN proof description ** ## Searching for a generalized rewrite rule (a rule whose right-hand side contains a variable that does not occur in the left-hand side)... No generalized rewrite rule found! ## Applying the DP framework... ## 1 initial DP problem to solve. ## First, we try to decompose this problem into smaller problems. ## Round 1 [1 DP problem]: ## DP problem: Dependency pairs = [plus^#(s(_0),plus(_1,_2)) -> plus^#(_0,plus(s(s(_1)),_2)), plus^#(s(_0),plus(_1,_2)) -> plus^#(s(s(_1)),_2), plus^#(s(_0),plus(_1,plus(_2,_3))) -> plus^#(_0,plus(_2,plus(_1,_3))), plus^#(s(_0),plus(_1,plus(_2,_3))) -> plus^#(_2,plus(_1,_3)), plus^#(s(_0),plus(_1,plus(_2,_3))) -> plus^#(_1,_3)] TRS = {plus(s(_0),plus(_1,_2)) -> plus(_0,plus(s(s(_1)),_2)), plus(s(_0),plus(_1,plus(_2,_3))) -> plus(_0,plus(_2,plus(_1,_3)))} ## Trying with homeomorphic embeddings... Failed! ## Trying with polynomial interpretations... Successfully decomposed the DP problem into 1 smaller problem to solve! ## Round 2 [1 DP problem]: ## DP problem: Dependency pairs = [plus^#(s(_0),plus(_1,_2)) -> plus^#(_0,plus(s(s(_1)),_2)), plus^#(s(_0),plus(_1,plus(_2,_3))) -> plus^#(_0,plus(_2,plus(_1,_3)))] TRS = {plus(s(_0),plus(_1,_2)) -> plus(_0,plus(s(s(_1)),_2)), plus(s(_0),plus(_1,plus(_2,_3))) -> plus(_0,plus(_2,plus(_1,_3)))} ## Trying with homeomorphic embeddings... Failed! ## Trying with polynomial interpretations... Failed! ## Trying with lexicographic path orders... The constraints are satisfied by the lexicographic path order using the argument filtering: {s:[0], plus:[0], plus^#:[0]} and the precedence: s > [plus, plus^#] This DP problem is finite. ## All the DP problems were proved finite. As all the involved DP processors are sound, the TRS under analysis terminates. Proof run on Linux version 3.10.0-1160.25.1.el7.x86_64 for amd64 using Java version 1.8.0_292 ** END proof description ** Total number of generated unfolded rules = 0
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