details

property	value
status	complete
benchmark	z041.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n146.star.cs.uiowa.edu
space	Zantema_04

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	1.61209 seconds
cpu usage	3.77185
user time	3.58799
system time	0.183868
max virtual memory	1.9341036E7
max residence set size	300292.0

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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) QTRS Reverse [EQUIVALENT, 0 ms] (2) QTRS (3) RFCMatchBoundsTRSProof [EQUIVALENT, 0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(b(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(b(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(b(a(x1))))))))) The certificate found is represented by the following graph. The certificate consists of the following enumerated nodes: 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220 Node 179 is start node and node 180 is final node. Those nodes are connected through the following edges: * 179 to 181 labelled b_1(0)* 180 to 180 labelled #_1(0)* 181 to 182 labelled a_1(0)* 182 to 183 labelled a_1(0)* 183 to 184 labelled b_1(0)* 184 to 185 labelled b_1(0)* 185 to 186 labelled a_1(0)* 185 to 197 labelled b_1(1)* 186 to 187 labelled a_1(0)* 186 to 189 labelled b_1(1)* 187 to 188 labelled b_1(0)* 188 to 180 labelled a_1(0)* 188 to 189 labelled b_1(1)* 189 to 190 labelled a_1(1)* 190 to 191 labelled a_1(1)* 191 to 192 labelled b_1(1)* 192 to 193 labelled b_1(1)* 193 to 194 labelled a_1(1)* 193 to 205 labelled b_1(2)* 194 to 195 labelled a_1(1)* 194 to 189 labelled b_1(1)* 195 to 196 labelled b_1(1)* 196 to 180 labelled a_1(1)* 196 to 189 labelled b_1(1)* 197 to 198 labelled a_1(1)* 198 to 199 labelled a_1(1)* 199 to 200 labelled b_1(1)* 200 to 201 labelled b_1(1)* 201 to 202 labelled a_1(1)* 202 to 203 labelled a_1(1)* 203 to 204 labelled b_1(1)* 204 to 192 labelled a_1(1)* 204 to 213 labelled b_1(2)* 205 to 206 labelled a_1(2)* 206 to 207 labelled a_1(2)* 207 to 208 labelled b_1(2)* 208 to 209 labelled b_1(2)* 209 to 210 labelled a_1(2)* 210 to 211 labelled a_1(2)* 211 to 212 labelled b_1(2)* 212 to 192 labelled a_1(2)* 212 to 213 labelled b_1(2)* 213 to 214 labelled a_1(2)* 214 to 215 labelled a_1(2)* 215 to 216 labelled b_1(2)* 216 to 217 labelled b_1(2)* 217 to 218 labelled a_1(2)* 217 to 205 labelled b_1(2)* 218 to 219 labelled a_1(2)* 218 to 189 labelled b_1(1)* 219 to 220 labelled b_1(2)* 220 to 196 labelled a_1(2)* 220 to 205 labelled b_1(2) ---------------------------------------- (4) YES popout

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job log

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all output return to SRS Standard