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TRS Standard pair #487068105
details
property
value
status
complete
benchmark
2.61.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n191.star.cs.uiowa.edu
space
SK90
run statistics
property
value
solver
NTI-TC20-firstrun
configuration
Default 200
runtime (wallclock)
0.280545 seconds
cpu usage
0.543929
user time
0.490079
system time
0.05385
max virtual memory
113188.0
max residence set size
72864.0
stage attributes
key
value
starexec-result
YES
output
YES 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 ** 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... ## Round 1: ## DP problem: Dependency pairs = [f^#(j(_0,_1),_1) -> f^#(_0,k(_1))] TRS = {f(j(_0,_1),_1) -> g(f(_0,k(_1))), f(_0,h1(_1,_2)) -> h2(0,_0,h1(_1,_2)), g(h2(_0,_1,h1(_2,_3))) -> h2(s(_0),_1,h1(_2,_3)), h2(_0,j(_1,h1(_2,_3)),h1(_2,_3)) -> h2(s(_0),_1,h1(s(_2),_3)), i(f(_0,h(_1))) -> _1, i(h2(s(_0),_1,h1(_0,_2))) -> _2, k(h(_0)) -> h1(0,_0), k(h1(_0,_1)) -> h1(s(_0),_1)} ## Trying with homeomorphic embeddings... Failed! ## Trying with polynomial interpretations... Too many coefficients (32)! Aborting! ## Trying with lexicographic path orders... The constraints are satisfied by the lexicographic path order using the precedence: j > [f, k, h2, g], f > [h2], h > [h1] and the argument filtering: {j:[0, 1], f:[0, 1], k:[0], h2:[2], s:[0], g:[0], h1:[1], i:[0], h:[0], f^#:[0, 1]} This DP problem is finite. ## DP problem: Dependency pairs = [h2^#(_0,j(_1,h1(_2,_3)),h1(_2,_3)) -> h2^#(s(_0),_1,h1(s(_2),_3))] TRS = {f(j(_0,_1),_1) -> g(f(_0,k(_1))), f(_0,h1(_1,_2)) -> h2(0,_0,h1(_1,_2)), g(h2(_0,_1,h1(_2,_3))) -> h2(s(_0),_1,h1(_2,_3)), h2(_0,j(_1,h1(_2,_3)),h1(_2,_3)) -> h2(s(_0),_1,h1(s(_2),_3)), i(f(_0,h(_1))) -> _1, i(h2(s(_0),_1,h1(_0,_2))) -> _2, k(h(_0)) -> h1(0,_0), k(h1(_0,_1)) -> h1(s(_0),_1)} ## Trying with homeomorphic embeddings... Failed! ## Trying with polynomial interpretations... Too many coefficients (32)! Aborting! ## Trying with lexicographic path orders... The constraints are satisfied by the lexicographic path order using the precedence: j > [f, k, h2, g], f > [h2], h > [h1] and the argument filtering: {j:[0, 1], f:[0, 1], k:[0], h2:[2], s:[0], g:[0], h1:[1], i:[0], h:[0], h2^#:[1]} This DP problem is finite. ** END proof description ** Proof stopped at iteration 0 Number of unfolded rules generated by this proof = 0 Number of unfolded rules generated by all the parallel proofs = 130
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