details

property	value
status	complete
benchmark	267.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n080.star.cs.uiowa.edu
space	COPS

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	2.35686802864 seconds
cpu usage	4.002120175
max memory	2.00585216E8

stage attributes

key	value
output-size	3774
starexec-result	YES

output

/export/starexec/sandbox/solver/bin/starexec_run_standard /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox/benchmark/theBenchmark.xml # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Quasi decreasingness of the given CTRS could be proven: (0) CTRS (1) CTRSToQTRSProof [SOUND, 0 ms] (2) QTRS (3) QTRSRRRProof [EQUIVALENT, 96 ms] (4) QTRS (5) QTRSRRRProof [EQUIVALENT, 2 ms] (6) QTRS (7) RisEmptyProof [EQUIVALENT, 0 ms] (8) YES ---------------------------------------- (0) Obligation: Conditional term rewrite system: The TRS R consists of the following rules: size(empty) -> 0 size(push(x, y)) -> s(size(x)) m -> s(s(s(s(0)))) pop(empty) -> empty top(empty) -> eentry le(x, 0) -> false le(0, s(x)) -> true le(s(x), s(y)) -> le(x, y) The conditional TRS C consists of the following conditional rules: pop(push(x, y)) -> x <= le(size(x), m) -> true top(push(x, y)) -> y <= le(size(x), m) -> true ---------------------------------------- (1) CTRSToQTRSProof (SOUND) The conditional rules have been transormed into unconditional rules according to [CTRS,AAECCNOC]. ---------------------------------------- (2) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: pop(push(x, y)) -> U1(le(size(x), m), x) U1(true, x) -> x top(push(x, y)) -> U2(le(size(x), m), y) U2(true, y) -> y size(empty) -> 0 size(push(x, y)) -> s(size(x)) m -> s(s(s(s(0)))) pop(empty) -> empty top(empty) -> eentry le(x, 0) -> false le(0, s(x)) -> true le(s(x), s(y)) -> le(x, y) Q is empty. ---------------------------------------- (3) QTRSRRRProof (EQUIVALENT) Used ordering: pop/1)YES( push/2(YES,YES) U1/2(YES,YES) le/2(YES,YES) size/1)YES( m/0) true/0) top/1)YES( U2/2(YES,YES) empty/0) 0/0) s/1)YES( eentry/0) false/0) Quasi precedence: empty > [push_2, m, true, 0] > U1_2 empty > [push_2, m, true, 0] > le_2 > false empty > [push_2, m, true, 0] > U2_2 empty > eentry Status: push_2: multiset status popout

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job log

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actions

all output return to TRS Condi 20667