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TRS Standard pair #516964422
details
property
value
status
complete
benchmark
ex3.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n030.star.cs.uiowa.edu
space
Strategy_removed_mixed_05
run statistics
property
value
solver
NTI_22
configuration
default
runtime (wallclock)
0.290330886841 seconds
cpu usage
0.346118753
max memory
4.2930176E7
stage attributes
key
value
output-size
2379
starexec-result
NO
output
/export/starexec/sandbox2/solver/bin/starexec_run_default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- NO ** BEGIN proof argument ** The following rule was generated while unfolding the analyzed TRS: [iteration = 0] g(_0) -> g(_0) Let l be the left-hand side and r be the right-hand side of this rule. Let p = epsilon, theta1 = {} and theta2 = {}. We have r|p = g(_0) and theta2(theta1(l)) = theta1(r|p). Hence, the term theta1(l) = g(_0) loops 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^#(g(a)) -> g^#(b), g^#(_0) -> f^#(g(_0)), g^#(_0) -> g^#(_0)] TRS = {f(g(a)) -> f(s(g(b))), f(f(_0)) -> b, g(_0) -> f(g(_0))} ## 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 = [g^#(_0) -> g^#(_0)] TRS = {f(g(a)) -> f(s(g(b))), f(f(_0)) -> b, g(_0) -> f(g(_0))} ## 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=false, max=-1) # max_depth=3, unfold_variables=false: # Iteration 0: success, found a loop, 1 unfolded rule generated. Here is the successful unfolding. Let IR be the TRS under analysis. L0 = g^#(_0) -> g^#(_0) [trans] is in U_IR^0. 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 = 2
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