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TRS Standard pair #516966942
details
property
value
status
complete
benchmark
4.49.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n061.star.cs.uiowa.edu
space
SK90
run statistics
property
value
solver
NTI_22
configuration
default
runtime (wallclock)
0.42530798912 seconds
cpu usage
0.643408641
max memory
6.5048576E7
stage attributes
key
value
output-size
2285
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] f(_0,_1,f(_2,_3,_4)) -> f(f(_0,_1,_2),_3,f(_0,_1,_4)) Let l be the left-hand side and r be the right-hand side of this rule. Let p = epsilon, theta1 = {_5->_3} and theta2 = {_1->_5, _2->_0, _5->_1, _0->f(_0,_1,_2)}. We have r|p = f(f(_0,_1,_2),_3,f(_0,_1,_4)) and theta2(theta1(l)) = theta1(r|p). Hence, the term theta1(l) = f(_0,_1,f(_2,_3,_4)) 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^#(_0,_1,f(_2,_3,_4)) -> f^#(f(_0,_1,_2),_3,f(_0,_1,_4)), f^#(_0,_1,f(_2,_3,_4)) -> f^#(_0,_1,_2), f^#(_0,_1,f(_2,_3,_4)) -> f^#(_0,_1,_4)] TRS = {f(_0,_1,f(_2,_3,_4)) -> f(f(_0,_1,_2),_3,f(_0,_1,_4))} ## 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: success, found a loop, 1 unfolded rule generated. Here is the successful unfolding. Let IR be the TRS under analysis. L0 = f^#(_0,_1,f(_2,_3,_4)) -> f^#(f(_0,_1,_2),_3,f(_0,_1,_4)) [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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