details

property	value
status	complete
benchmark	z030.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n165.star.cs.uiowa.edu
space	Zantema_04

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	1.80722 seconds
cpu usage	3.99915
user time	3.82776
system time	0.171386
max virtual memory	1.8810328E7
max residence set size	313696.0

stage attributes

key	value
starexec-result	YES

output

3.56/1.76 YES 3.92/1.79 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 3.92/1.79 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 3.92/1.79 3.92/1.79 3.92/1.79 Termination w.r.t. Q of the given QTRS could be proven: 3.92/1.79 3.92/1.79 (0) QTRS 3.92/1.79 (1) Strip Symbols Proof [SOUND, 0 ms] 3.92/1.79 (2) QTRS 3.92/1.79 (3) RFCMatchBoundsTRSProof [EQUIVALENT, 11 ms] 3.92/1.79 (4) YES 3.92/1.79 3.92/1.79 3.92/1.79 ---------------------------------------- 3.92/1.79 3.92/1.79 (0) 3.92/1.79 Obligation: 3.92/1.79 Q restricted rewrite system: 3.92/1.79 The TRS R consists of the following rules: 3.92/1.79 3.92/1.79 b(a(b(a(a(a(x1)))))) -> a(a(a(b(a(b(a(b(a(x1))))))))) 3.92/1.79 3.92/1.79 Q is empty. 3.92/1.79 3.92/1.79 ---------------------------------------- 3.92/1.79 3.92/1.79 (1) Strip Symbols Proof (SOUND) 3.92/1.79 We were given the following TRS: 3.92/1.79 3.92/1.79 b(a(b(a(a(a(x1)))))) -> a(a(a(b(a(b(a(b(a(x1))))))))) 3.92/1.79 3.92/1.79 By stripping symbols from the only rule of the system, we obtained the following TRS [ENDRULLIS]: 3.92/1.79 3.92/1.79 b(a(b(a(a(x))))) -> a(a(a(b(a(b(a(b(x)))))))) 3.92/1.79 3.92/1.79 ---------------------------------------- 3.92/1.79 3.92/1.79 (2) 3.92/1.79 Obligation: 3.92/1.79 Q restricted rewrite system: 3.92/1.79 The TRS R consists of the following rules: 3.92/1.79 3.92/1.79 b(a(b(a(a(x))))) -> a(a(a(b(a(b(a(b(x)))))))) 3.92/1.79 3.92/1.79 Q is empty. 3.92/1.79 3.92/1.79 ---------------------------------------- 3.92/1.79 3.92/1.79 (3) RFCMatchBoundsTRSProof (EQUIVALENT) 3.92/1.79 Termination of the TRS R could be shown with a Match Bound [MATCHBOUNDS1,MATCHBOUNDS2] of 4. This implies Q-termination of R. 3.92/1.79 The following rules were used to construct the certificate: 3.92/1.79 3.92/1.79 b(a(b(a(a(x))))) -> a(a(a(b(a(b(a(b(x)))))))) 3.92/1.79 3.92/1.79 The certificate found is represented by the following graph. 3.92/1.79 The certificate consists of the following enumerated nodes: 3.92/1.79 5, 6, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276 3.92/1.79 3.92/1.79 Node 5 is start node and node 6 is final node. 3.92/1.79 3.92/1.79 Those nodes are connected through the following edges: 3.92/1.79 3.92/1.79 * 5 to 207 labelled a_1(0)* 6 to 6 labelled #_1(0)* 207 to 208 labelled a_1(0)* 208 to 209 labelled a_1(0)* 209 to 210 labelled b_1(0)* 209 to 221 labelled a_1(1)* 210 to 211 labelled a_1(0)* 211 to 212 labelled b_1(0)* 211 to 214 labelled a_1(1)* 212 to 213 labelled a_1(0)* 213 to 6 labelled b_1(0)* 213 to 214 labelled a_1(1)* 214 to 215 labelled a_1(1)* 215 to 216 labelled a_1(1)* 216 to 217 labelled b_1(1)* 216 to 228 labelled a_1(2)* 217 to 218 labelled a_1(1)* 218 to 219 labelled b_1(1)* 218 to 214 labelled a_1(1)* 219 to 220 labelled a_1(1)* 220 to 6 labelled b_1(1)* 220 to 214 labelled a_1(1)* 221 to 222 labelled a_1(1)* 222 to 223 labelled a_1(1)* 223 to 224 labelled b_1(1)* 224 to 225 labelled a_1(1)* 225 to 226 labelled b_1(1)* 225 to 235 labelled a_1(2)* 226 to 227 labelled a_1(1)* 227 to 214 labelled b_1(1)* 228 to 229 labelled a_1(2)* 229 to 230 labelled a_1(2)* 230 to 231 labelled b_1(2)* 231 to 232 labelled a_1(2)* 232 to 233 labelled b_1(2)* 232 to 235 labelled a_1(2)* 233 to 234 labelled a_1(2)* 234 to 214 labelled b_1(2)* 235 to 236 labelled a_1(2)* 236 to 237 labelled a_1(2)* 237 to 238 labelled b_1(2)* 238 to 239 labelled a_1(2)* 239 to 240 labelled b_1(2)* 239 to 242 labelled a_1(3)* 240 to 241 labelled a_1(2)* 241 to 216 labelled b_1(2)* 242 to 243 labelled a_1(3)* 243 to 244 labelled a_1(3)* 244 to 245 labelled b_1(3)* 244 to 256 labelled a_1(4)* 245 to 246 labelled a_1(3)* 246 to 247 labelled b_1(3)* 247 to 248 labelled a_1(3)* 248 to 229 labelled b_1(3)* 248 to 249 labelled a_1(3)* 249 to 250 labelled a_1(3)* 250 to 251 labelled a_1(3)* 251 to 252 labelled b_1(3)* 252 to 253 labelled a_1(3)* 253 to 254 labelled b_1(3)* 253 to 263 labelled a_1(3)* 254 to 255 labelled a_1(3)* 255 to 235 labelled b_1(3)* 256 to 257 labelled a_1(4)* 257 to 258 labelled a_1(4)* 258 to 259 labelled b_1(4)* 259 to 260 labelled a_1(4)* 260 to 261 labelled b_1(4)* 260 to 270 labelled a_1(4)* 261 to 262 labelled a_1(4)* 262 to 249 labelled b_1(4)* 263 to 264 labelled a_1(3)* 264 to 265 labelled a_1(3)* 265 to 266 labelled b_1(3)* 266 to 267 labelled a_1(3)* 267 to 268 labelled b_1(3)* 268 to 269 labelled a_1(3)* 269 to 237 labelled b_1(3)* 270 to 271 labelled a_1(4)* 271 to 272 labelled a_1(4)* 272 to 273 labelled b_1(4)* 273 to 274 labelled a_1(4)* 274 to 275 labelled b_1(4)* 275 to 276 labelled a_1(4)* 276 to 251 labelled b_1(4) 3.92/1.79 3.92/1.79 3.92/1.79 ---------------------------------------- 3.92/1.79 3.92/1.79 (4) 3.92/1.79 YES 3.98/1.80 EOF popout

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job log

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actions

all output return to SRS_Standard 2019-03-29 03.29