details

property	value
status	complete
benchmark	enger-nonloop-toOne.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n034.star.cs.uiowa.edu
space	EEG_IJCAR_12

run statistics

property	value
solver	AProVE21
configuration	standard
runtime (wallclock)	12.3857080936 seconds
cpu usage	40.383542022
max memory	1.322586112E9

stage attributes

key	value
output-size	10694
starexec-result	NO

output

/export/starexec/sandbox2/solver/bin/starexec_run_standard /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- NO proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml # AProVE Commit ID: c69e44bd14796315568835c1ffa2502984884775 mhark 20210624 unpublished Termination w.r.t. Q of the given QTRS could be disproven: (0) QTRS (1) AAECC Innermost [EQUIVALENT, 0 ms] (2) QTRS (3) DependencyPairsProof [EQUIVALENT, 0 ms] (4) QDP (5) DependencyGraphProof [EQUIVALENT, 0 ms] (6) AND (7) QDP (8) UsableRulesProof [EQUIVALENT, 0 ms] (9) QDP (10) QReductionProof [EQUIVALENT, 0 ms] (11) QDP (12) QDPSizeChangeProof [EQUIVALENT, 0 ms] (13) YES (14) QDP (15) UsableRulesProof [EQUIVALENT, 0 ms] (16) QDP (17) QReductionProof [EQUIVALENT, 0 ms] (18) QDP (19) QDPSizeChangeProof [EQUIVALENT, 0 ms] (20) YES (21) QDP (22) MNOCProof [EQUIVALENT, 0 ms] (23) QDP (24) NonLoopProof [COMPLETE, 128 ms] (25) NO ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: f(tt, x) -> f(eq(toOne(x), s(0)), s(x)) eq(s(x), s(y)) -> eq(x, y) eq(0, 0) -> tt toOne(s(s(x))) -> toOne(s(x)) toOne(s(0)) -> s(0) Q is empty. ---------------------------------------- (1) AAECC Innermost (EQUIVALENT) We have applied [NOC,AAECCNOC] to switch to innermost. The TRS R 1 is eq(s(x), s(y)) -> eq(x, y) eq(0, 0) -> tt toOne(s(s(x))) -> toOne(s(x)) toOne(s(0)) -> s(0) The TRS R 2 is f(tt, x) -> f(eq(toOne(x), s(0)), s(x)) The signature Sigma is {f_2} ---------------------------------------- (2) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: f(tt, x) -> f(eq(toOne(x), s(0)), s(x)) eq(s(x), s(y)) -> eq(x, y) eq(0, 0) -> tt toOne(s(s(x))) -> toOne(s(x)) toOne(s(0)) -> s(0) The set Q consists of the following terms: f(tt, x0) eq(s(x0), s(x1)) eq(0, 0) toOne(s(s(x0))) toOne(s(0)) ---------------------------------------- (3) DependencyPairsProof (EQUIVALENT) Using Dependency Pairs [AG00,LPAR04] we result in the following initial DP problem. ---------------------------------------- (4) Obligation: Q DP problem: popout

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

job log

popout

actions

all output return to TRS Standard