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TRS Standard pair #487070835
details
property
value
status
complete
benchmark
Ex1_GL02a_Z.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n182.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
NTI-TC20-firstrun
configuration
Default 200
runtime (wallclock)
6.53564 seconds
cpu usage
20.6418
user time
19.7572
system time
0.884595
max virtual memory
3.5399408E7
max residence set size
2419552.0
stage attributes
key
value
starexec-result
NO
output
NO Prover = TRS(tech=GUIDED_UNF_TRIPLES, nb_unfoldings=unlimited, unfold_variables=false, max_nb_coefficients=12, max_nb_unfolded_rules=-1, strategy=LEFTMOST_NE) ** BEGIN proof argument ** The following rule was generated while unfolding the analyzed TRS: [iteration = 12] eq(n__s(n__length(cons(_0,n__inf(_1)))),n__s(n__length(cons(_2,n__inf(_3))))) -> eq(n__s(n__length(cons(_1,n__inf(n__s(_1))))),n__s(n__length(cons(_3,n__inf(s(_3)))))) Let l be the left-hand side and r be the right-hand side of this rule. Let p = epsilon, theta1 = {} and theta2 = {_0->_1, _1->n__s(_1), _3->s(_3), _2->_3}. We have r|p = eq(n__s(n__length(cons(_1,n__inf(n__s(_1))))),n__s(n__length(cons(_3,n__inf(s(_3)))))) and theta2(theta1(l)) = theta1(r|p). Hence, the term theta1(l) = eq(n__s(n__length(cons(_0,n__inf(_1)))),n__s(n__length(cons(_2,n__inf(_3))))) 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... ## Round 1: ## DP problem: Dependency pairs = [eq^#(n__s(_0),n__s(_1)) -> eq^#(activate(_0),activate(_1))] TRS = {eq(n__0,n__0) -> true, eq(n__s(_0),n__s(_1)) -> eq(activate(_0),activate(_1)), eq(_0,_1) -> false, inf(_0) -> cons(_0,n__inf(s(_0))), take(0,_0) -> nil, take(s(_0),cons(_1,_2)) -> cons(activate(_1),n__take(activate(_0),activate(_2))), length(nil) -> 0, length(cons(_0,_1)) -> s(n__length(activate(_1))), 0 -> n__0, s(_0) -> n__s(_0), inf(_0) -> n__inf(_0), take(_0,_1) -> n__take(_0,_1), length(_0) -> n__length(_0), activate(n__0) -> 0, activate(n__s(_0)) -> s(_0), activate(n__inf(_0)) -> inf(_0), activate(n__take(_0,_1)) -> take(_0,_1), activate(n__length(_0)) -> length(_0), activate(_0) -> _0} ## Trying with homeomorphic embeddings... Failed! ## Trying with polynomial interpretations... Too many coefficients (36)! Aborting! ## Trying with lexicographic path orders... Failed! ## Trying to prove nontermination by unfolding the dependency pairs with the rules of the TRS # max_depth=3, unfold_variables=false: # Iteration 0: nontermination not detected, 1 unfolded rule generated. # Iteration 1: nontermination not detected, 1 unfolded rule generated. # Iteration 2: nontermination not detected, 3 unfolded rules generated. # Iteration 3: nontermination not detected, 6 unfolded rules generated. # Iteration 4: nontermination not detected, 3 unfolded rules generated. # Iteration 5: nontermination not detected, 0 unfolded rule generated. Nontermination not detected! # max_depth=3, unfold_variables=true: # Iteration 0: nontermination not detected, 1 unfolded rule generated. # Iteration 1: nontermination not detected, 1 unfolded rule generated. # Iteration 2: nontermination not detected, 3 unfolded rules generated. # Iteration 3: nontermination not detected, 6 unfolded rules generated. # Iteration 4: nontermination not detected, 3 unfolded rules generated. # Iteration 5: nontermination not detected, 0 unfolded rule generated. Nontermination not detected! # max_depth=4, unfold_variables=false: # Iteration 0: nontermination not detected, 1 unfolded rule generated. # Iteration 1: nontermination not detected, 1 unfolded rule generated. # Iteration 2: nontermination not detected, 3 unfolded rules generated. # Iteration 3: nontermination not detected, 4 unfolded rules generated. # Iteration 4: nontermination not detected, 6 unfolded rules generated. # Iteration 5: nontermination not detected, 7 unfolded rules generated. # Iteration 6: nontermination not detected, 11 unfolded rules generated. # Iteration 7: nontermination not detected, 5 unfolded rules generated. # Iteration 8: nontermination not detected, 9 unfolded rules generated. # Iteration 9: nontermination not detected, 5 unfolded rules generated. # Iteration 10: nontermination not detected, 0 unfolded rule generated. Nontermination not detected! # max_depth=4, unfold_variables=true: # Iteration 0: nontermination not detected, 1 unfolded rule generated. # Iteration 1: nontermination not detected, 1 unfolded rule generated. # Iteration 2: nontermination not detected, 3 unfolded rules generated. # Iteration 3: nontermination not detected, 4 unfolded rules generated. # Iteration 4: nontermination not detected, 6 unfolded rules generated. # Iteration 5: nontermination not detected, 7 unfolded rules generated. # Iteration 6: nontermination not detected, 11 unfolded rules generated. # Iteration 7: nontermination not detected, 5 unfolded rules generated. # Iteration 8: nontermination not detected, 9 unfolded rules generated. # Iteration 9: nontermination not detected, 5 unfolded rules generated. # Iteration 10: nontermination not detected, 0 unfolded rule generated. Nontermination not detected! # max_depth=5, unfold_variables=false: # Iteration 0: nontermination not detected, 1 unfolded rule generated. # Iteration 1: nontermination not detected, 1 unfolded rule generated. # Iteration 2: nontermination not detected, 3 unfolded rules generated. # Iteration 3: nontermination not detected, 4 unfolded rules generated. # Iteration 4: nontermination not detected, 10 unfolded rules generated. # Iteration 5: nontermination not detected, 21 unfolded rules generated. # Iteration 6: nontermination not detected, 53 unfolded rules generated. # Iteration 7: nontermination not detected, 37 unfolded rules generated. # Iteration 8: nontermination not detected, 87 unfolded rules generated. # Iteration 9: nontermination not detected, 159 unfolded rules generated. # Iteration 10: nontermination not detected, 25 unfolded rules generated. # Iteration 11: nontermination not detected, 1 unfolded rule generated. # Iteration 12: nontermination not detected, 0 unfolded rule generated. Nontermination not detected! # max_depth=5, unfold_variables=true: # Iteration 0: nontermination not detected, 1 unfolded rule generated. # Iteration 1: nontermination not detected, 1 unfolded rule generated. # Iteration 2: nontermination not detected, 3 unfolded rules generated. # Iteration 3: nontermination not detected, 4 unfolded rules generated. # Iteration 4: nontermination not detected, 10 unfolded rules generated. # Iteration 5: nontermination not detected, 21 unfolded rules generated. # Iteration 6: nontermination not detected, 53 unfolded rules generated. # Iteration 7: nontermination not detected, 37 unfolded rules generated. # Iteration 8: nontermination not detected, 87 unfolded rules generated. # Iteration 9: nontermination not detected, 159 unfolded rules generated. # Iteration 10: nontermination not detected, 25 unfolded rules generated. # Iteration 11: nontermination not detected, 1 unfolded rule generated. # Iteration 12: nontermination not detected, 0 unfolded rule generated. Nontermination not detected!
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