details

property	value
status	complete
benchmark	rt2-7.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n149.star.cs.uiowa.edu
space	Relative_05

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	2.42025 seconds
cpu usage	6.63456
user time	6.31286
system time	0.321699
max virtual memory	1.9344916E7
max residence set size	625512.0

stage attributes

key	value
starexec-result	YES

output

YES proof of /export/starexec/sandbox/benchmark/theBenchmark.xml # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination of the given RelTRS could be proven: (0) RelTRS (1) RelTRS Reverse [EQUIVALENT, 0 ms] (2) RelTRS (3) RootLabelingProof [EQUIVALENT, 0 ms] (4) RelTRS (5) RelTRSRRRProof [EQUIVALENT, 111 ms] (6) RelTRS (7) RelTRSRRRProof [EQUIVALENT, 21 ms] (8) RelTRS (9) RIsEmptyProof [EQUIVALENT, 0 ms] (10) YES ---------------------------------------- (0) Obligation: Relative term rewrite system: The relative TRS consists of the following R rules: f(g(f(x))) -> f(g(g(g(f(x))))) The relative TRS consists of the following S rules: g(x) -> g(g(x)) ---------------------------------------- (1) RelTRS Reverse (EQUIVALENT) We have reversed the following relative TRS [REVERSE]: The set of rules R is f(g(f(x))) -> f(g(g(g(f(x))))) The set of rules S is g(x) -> g(g(x)) We have obtained the following relative TRS: The set of rules R is f(g(f(x))) -> f(g(g(g(f(x))))) The set of rules S is g(x) -> g(g(x)) ---------------------------------------- (2) Obligation: Relative term rewrite system: The relative TRS consists of the following R rules: f(g(f(x))) -> f(g(g(g(f(x))))) The relative TRS consists of the following S rules: g(x) -> g(g(x)) ---------------------------------------- (3) RootLabelingProof (EQUIVALENT) We used plain root labeling [ROOTLAB] with the following heuristic: LabelAll: All function symbols get labeled ---------------------------------------- (4) Obligation: Relative term rewrite system: The relative TRS consists of the following R rules: f_{g_1}(g_{f_1}(f_{f_1}(x))) -> f_{g_1}(g_{g_1}(g_{g_1}(g_{f_1}(f_{f_1}(x))))) f_{g_1}(g_{f_1}(f_{g_1}(x))) -> f_{g_1}(g_{g_1}(g_{g_1}(g_{f_1}(f_{g_1}(x))))) The relative TRS consists of the following S rules: g_{f_1}(x) -> g_{g_1}(g_{f_1}(x)) g_{g_1}(x) -> g_{g_1}(g_{g_1}(x)) ---------------------------------------- (5) RelTRSRRRProof (EQUIVALENT) We used the following monotonic ordering for rule removal: Matrix interpretation [MATRO] to (N^2, +, *, >=, >) : <<< POL(f_{g_1}(x_1)) = [[0], [0]] + [[2, 2], [2, 2]] * x_1 >>> <<< popout

output may be truncated. 'popout' for the full output.

job log

popout

actions

all output return to TRS Relative