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TRS Standard pair #516967057
details
property
value
status
complete
benchmark
#3.23.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n073.star.cs.uiowa.edu
space
AG01
run statistics
property
value
solver
NTI_22
configuration
default
runtime (wallclock)
0.248721837997 seconds
cpu usage
0.259900582
max memory
3.8371328E7
stage attributes
key
value
output-size
1598
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 ** 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 = [f^#(s(_0),_1) -> f^#(f(_0,_1),_1), f^#(s(_0),_1) -> f^#(_0,_1)] TRS = {f(0,_0) -> 0, f(s(_0),_1) -> f(f(_0,_1),_1)} ## 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], f:[0], f^#:[0, 1]} and the precedence: s > [f] 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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