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TRS Standard pair #516967912
details
property
value
status
complete
benchmark
payet-nonloop-1.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n077.star.cs.uiowa.edu
space
payet_21
run statistics
property
value
solver
NTI_22
configuration
default
runtime (wallclock)
0.260663032532 seconds
cpu usage
0.313622589
max memory
4.9205248E7
stage attributes
key
value
output-size
1963
starexec-result
NO
output
/export/starexec/sandbox/solver/bin/starexec_run_default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- NO ** BEGIN proof argument ** The following double path program (DPP) was generated while unfolding the analyzed TRS: [iteration = 1] [f^#(0,_0) -> f^#(s(_0),s(_0)), f^#(s(_1),_2) -> f^#(_1,_2)] [comp] This DPP admits the recurrent pair: < C1 = f^#(0,□), C2 = f^#(s(□),◯), Δ = s(□), u = 0 > Hence, the term f(0,0) is nonterminating w.r.t. the analyzed TRS. ** 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^#(0,_0) -> f^#(s(_0),s(_0)), f^#(s(_0),_1) -> f^#(_0,_1)] TRS = {f(0,_0) -> f(s(_0),s(_0)), f(s(_0),_1) -> f(_0,_1)} ## Trying with homeomorphic embeddings... Failed! ## Trying with polynomial interpretations... Failed! ## Trying with lexicographic path orders... Failed! ## Trying with Knuth-Bendix orders... Failed! Don't know whether this DP problem is finite. ## A DP problem could not be proved finite. ## Now, we try to prove that this problem is infinite. ## Trying to find a loop (forward=true, backward=true, max=20) # max_depth=20, unfold_variables=false: # Iteration 0: no loop found, 2 unfolded rules generated. # Iteration 1: success, found a loop, 1 unfolded rule generated. This DP problem is infinite. 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 = 10
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