details

property	value
status	complete
benchmark	lindau.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n175.star.cs.uiowa.edu
space	Rubio_04

run statistics

property	value
solver	AProVE23
configuration	standard
runtime (wallclock)	1.538159132 seconds
cpu usage	3.690457282
max memory	2.51871232E8

stage attributes

key	value
output-size	1852
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# AProVE Commit ID: 363435ff5b19173ec8a83b45cfdec073678dabcc jan-christoph 20230815 unpublished Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) RFCMatchBoundsTRSProof [EQUIVALENT, 0 ms] (2) YES ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: c(b(a(X))) -> a(a(b(b(c(c(X)))))) a(X) -> e b(X) -> e c(X) -> e Q is empty. ---------------------------------------- (1) RFCMatchBoundsTRSProof (EQUIVALENT) Termination of the TRS R could be shown with a Match Bound [MATCHBOUNDS1,MATCHBOUNDS2] of 2. This implies Q-termination of R. The following rules were used to construct the certificate: c(b(a(X))) -> a(a(b(b(c(c(X)))))) a(X) -> e b(X) -> e c(X) -> e The certificate found is represented by the following graph. The certificate consists of the following enumerated nodes: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 Node 1 is start node and node 2 is final node. Those nodes are connected through the following edges: * 1 to 3 labelled a_1(0), e(1)* 1 to 2 labelled e(0)* 2 to 2 labelled #_1(0)* 3 to 4 labelled a_1(0), e(1)* 4 to 5 labelled b_1(0), e(1)* 5 to 6 labelled b_1(0), e(1)* 6 to 7 labelled c_1(0), e(1)* 7 to 2 labelled c_1(0), e(1)* 7 to 8 labelled a_1(1), e(2)* 8 to 9 labelled a_1(1), e(2)* 9 to 10 labelled b_1(1), e(2)* 10 to 11 labelled b_1(1), e(2)* 11 to 12 labelled c_1(1), e(2)* 12 to 2 labelled c_1(1), e(2)* 12 to 8 labelled a_1(1), e(2) ---------------------------------------- (2) YES popout

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

job log

popout

actions

all output return to TRS Standard