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TRS Standard pair #516964677
details
property
value
status
complete
benchmark
bn122.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n008.star.cs.uiowa.edu
space
Rubio_04
run statistics
property
value
solver
NTI_22
configuration
default
runtime (wallclock)
0.233975887299 seconds
cpu usage
0.272327712
max memory
3.2325632E7
stage attributes
key
value
output-size
2220
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... ## 2 initial DP problems to solve. ## First, we try to decompose these problems into smaller problems. ## Round 1 [2 DP problems]: ## DP problem: Dependency pairs = [times^#(_0,s(_1)) -> times^#(_1,_0)] TRS = {plus(plus(_0,_1),_2) -> plus(_0,plus(_1,_2)), times(_0,s(_1)) -> plus(_0,times(_1,_0))} ## Trying with homeomorphic embeddings... Failed! ## Trying with polynomial interpretations... The constraints are satisfied by the polynomials: {times(_0,_1):[_0 * _1], s(_0):[2 * _0], plus(_0,_1):[_0 + _1], times^#(_0,_1):[_0 * _1]} for all instantiations of the variables with values greater than or equal to mu = 1. This DP problem is finite. ## DP problem: Dependency pairs = [plus^#(plus(_0,_1),_2) -> plus^#(_0,plus(_1,_2)), plus^#(plus(_0,_1),_2) -> plus^#(_1,_2)] TRS = {plus(plus(_0,_1),_2) -> plus(_0,plus(_1,_2)), times(_0,s(_1)) -> plus(_0,times(_1,_0))} ## Trying with homeomorphic embeddings... Failed! ## Trying with polynomial interpretations... The constraints are satisfied by the polynomials: {times(_0,_1):[_0 * _1], s(_0):[2 * _0], plus(_0,_1):[_0 + _1], plus^#(_0,_1):[_0]} for all instantiations of the variables with values greater than or equal to mu = 1. 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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