details

property	value
status	complete
benchmark	2.01.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n044.star.cs.uiowa.edu
space	SK90

run statistics

property	value
solver	NTI_23
configuration	default
runtime (wallclock)	0.230479955673 seconds
cpu usage	0.37575435
max memory	4.7366144E7

stage attributes

key	value
output-size	2494
starexec-result	"YES"

output

/export/starexec/sandbox2/solver/bin/starexec_run_default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES ** 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... ## 2 initial DP problems to solve. ## First, we try to decompose these problems into smaller problems. ## Round 1 [2 DP problems]: ## DP problem: Dependency pairs = [i^#(+(_0,_1)) -> i^#(_0), i^#(+(_0,_1)) -> i^#(_1)] TRS = {i(0) -> 0, +(0,_0) -> _0, +(_0,0) -> _0, i(i(_0)) -> _0, +(i(_0),_0) -> 0, +(_0,i(_0)) -> 0, i(+(_0,_1)) -> +(i(_0),i(_1)), +(_0,+(_1,_2)) -> +(+(_0,_1),_2), +(+(_0,i(_1)),_1) -> _0, +(+(_0,_1),i(_1)) -> _0} ## DP Processor: homeomorphic embeddings. Using no argument filtering, i.e., applying the processor to the full problem only. Success, finiteness proved! This DP problem is finite. ## DP problem: Dependency pairs = [+^#(_0,+(_1,_2)) -> +^#(+(_0,_1),_2), +^#(_0,+(_1,_2)) -> +^#(_0,_1)] TRS = {i(0) -> 0, +(0,_0) -> _0, +(_0,0) -> _0, i(i(_0)) -> _0, +(i(_0),_0) -> 0, +(_0,i(_0)) -> 0, i(+(_0,_1)) -> +(i(_0),i(_1)), +(_0,+(_1,_2)) -> +(+(_0,_1),_2), +(+(_0,i(_1)),_1) -> _0, +(+(_0,_1),i(_1)) -> _0} ## DP Processor: homeomorphic embeddings. Using no argument filtering, i.e., applying the processor to the full problem only. Failed! ## DP Processor: lexicographic path orders. Failed! ## DP Processor: polynomial interpretations. Using no argument filtering, i.e., applying the processor to the full problem only. Polynomial order induced by the interpretation: {0:[0], +(_0,_1):[1 + _0 + _1], +^#(_0,_1):[_0], i(_0):[_0]} and the value mu = 0 (see [Giesl, RTA'95]) Success, finiteness proved! This DP problem is finite. ## All the DP problems were proved finite. As all the involved DP processors are sound, the TRS under analysis terminates. Proof run on Linux version 3.10.0-1160.62.1.el7.x86_64 for amd64 using Java version 1.8.0_322 ** END proof description ** Total number of generated unfolded rules = 0 popout

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job log

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actions

all output return to TRS Standard