details

property	value
status	complete
benchmark	z034.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n192.star.cs.uiowa.edu
space	Zantema_04

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	1.70157217979 seconds
cpu usage	4.021242328
max memory	3.24333568E8

stage attributes

key	value
output-size	2762
starexec-result	YES

output

/export/starexec/sandbox2/solver/bin/starexec_run_standard /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) QTRS Reverse [EQUIVALENT, 0 ms] (2) QTRS (3) RFCMatchBoundsTRSProof [EQUIVALENT, 0 ms] (4) YES ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: b(a(a(b(a(x1))))) -> a(a(b(b(a(a(b(x1))))))) Q is empty. ---------------------------------------- (1) QTRS Reverse (EQUIVALENT) We applied the QTRS Reverse Processor [REVERSE]. ---------------------------------------- (2) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: a(b(a(a(b(x1))))) -> b(a(a(b(b(a(a(x1))))))) Q is empty. ---------------------------------------- (3) 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: a(b(a(a(b(x1))))) -> b(a(a(b(b(a(a(x1))))))) The certificate found is represented by the following graph. The certificate consists of the following enumerated nodes: 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196 Node 171 is start node and node 172 is final node. Those nodes are connected through the following edges: * 171 to 173 labelled b_1(0)* 172 to 172 labelled #_1(0)* 173 to 174 labelled a_1(0)* 174 to 175 labelled a_1(0)* 175 to 176 labelled b_1(0)* 176 to 177 labelled b_1(0)* 177 to 178 labelled a_1(0)* 177 to 185 labelled b_1(1)* 178 to 172 labelled a_1(0)* 178 to 179 labelled b_1(1)* 179 to 180 labelled a_1(1)* 180 to 181 labelled a_1(1)* 181 to 182 labelled b_1(1)* 182 to 183 labelled b_1(1)* 183 to 184 labelled a_1(1)* 183 to 191 labelled b_1(2)* 184 to 172 labelled a_1(1)* 184 to 179 labelled b_1(1)* 185 to 186 labelled a_1(1)* 186 to 187 labelled a_1(1)* 187 to 188 labelled b_1(1)* 188 to 189 labelled b_1(1)* 189 to 190 labelled a_1(1)* 189 to 191 labelled b_1(2)* 190 to 182 labelled a_1(1)* 190 to 179 labelled b_1(1)* 191 to 192 labelled a_1(2)* 192 to 193 labelled a_1(2)* 193 to 194 labelled b_1(2)* 194 to 195 labelled b_1(2)* 195 to 196 labelled a_1(2)* 195 to 191 labelled b_1(2)* 196 to 182 labelled a_1(2)* 196 to 179 labelled b_1(1) ---------------------------------------- (4) YES popout

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

job log

popout

actions

all output return to SRS Stand 10685