details

property	value
status	complete
benchmark	2.12.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n186.star.cs.uiowa.edu
space	SK90

run statistics

property	value
solver	NTI-TC20-firstrun
configuration	Default 200
runtime (wallclock)	0.188386 seconds
cpu usage	0.24825
user time	0.203071
system time	0.045179
max virtual memory	113188.0
max residence set size	50532.0

stage attributes

key	value
starexec-result	YES

output

YES Prover = TRS(tech=PATTERN_RULES, nb_unfoldings=unlimited, max_nb_unfolded_rules=200) ** 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 = [*^#(s(_0),_1) -> *^#(_0,_1), *^#(p(_0),_1) -> *^#(_0,_1)] TRS = {+(0,_0) -> _0, +(s(_0),_1) -> s(+(_0,_1)), +(p(_0),_1) -> p(+(_0,_1)), minus(0) -> 0, minus(s(_0)) -> p(minus(_0)), minus(p(_0)) -> s(minus(_0)), *(0,_0) -> 0, *(s(_0),_1) -> +(*(_0,_1),_1), *(p(_0),_1) -> +(*(_0,_1),minus(_1))} ## Trying with homeomorphic embeddings... Success! This DP problem is finite. ## DP problem: Dependency pairs = [minus^#(s(_0)) -> minus^#(_0), minus^#(p(_0)) -> minus^#(_0)] TRS = {+(0,_0) -> _0, +(s(_0),_1) -> s(+(_0,_1)), +(p(_0),_1) -> p(+(_0,_1)), minus(0) -> 0, minus(s(_0)) -> p(minus(_0)), minus(p(_0)) -> s(minus(_0)), *(0,_0) -> 0, *(s(_0),_1) -> +(*(_0,_1),_1), *(p(_0),_1) -> +(*(_0,_1),minus(_1))} ## Trying with homeomorphic embeddings... Success! This DP problem is finite. ## DP problem: Dependency pairs = [+^#(s(_0),_1) -> +^#(_0,_1), +^#(p(_0),_1) -> +^#(_0,_1)] TRS = {+(0,_0) -> _0, +(s(_0),_1) -> s(+(_0,_1)), +(p(_0),_1) -> p(+(_0,_1)), minus(0) -> 0, minus(s(_0)) -> p(minus(_0)), minus(p(_0)) -> s(minus(_0)), *(0,_0) -> 0, *(s(_0),_1) -> +(*(_0,_1),_1), *(p(_0),_1) -> +(*(_0,_1),minus(_1))} ## Trying with homeomorphic embeddings... Success! 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 = 0 popout

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all output return to TRS Standard