Spaces
Explore
Communities
Statistics
Reports
Cluster
Status
Help
SRS_Standard 2019-03-29 03.29 pair #432290977
details
property
value
status
complete
benchmark
size-12-alpha-3-num-482.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n094.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
11.0272 seconds
cpu usage
40.1302
user time
38.5451
system time
1.58517
max virtual memory
8.0224584E7
max residence set size
3979016.0
stage attributes
key
value
starexec-result
YES
output
39.76/10.93 YES 39.76/10.94 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 39.76/10.94 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 39.76/10.94 39.76/10.94 39.76/10.94 Termination w.r.t. Q of the given QTRS could be proven: 39.76/10.94 39.76/10.94 (0) QTRS 39.76/10.94 (1) QTRS Reverse [EQUIVALENT, 0 ms] 39.76/10.94 (2) QTRS 39.76/10.94 (3) DependencyPairsProof [EQUIVALENT, 1 ms] 39.76/10.94 (4) QDP 39.76/10.94 (5) QDPOrderProof [EQUIVALENT, 237 ms] 39.76/10.94 (6) QDP 39.76/10.94 (7) QDPOrderProof [EQUIVALENT, 206 ms] 39.76/10.94 (8) QDP 39.76/10.94 (9) DependencyGraphProof [EQUIVALENT, 0 ms] 39.76/10.94 (10) TRUE 39.76/10.94 39.76/10.94 39.76/10.94 ---------------------------------------- 39.76/10.94 39.76/10.94 (0) 39.76/10.94 Obligation: 39.76/10.94 Q restricted rewrite system: 39.76/10.94 The TRS R consists of the following rules: 39.76/10.94 39.76/10.94 a(a(x1)) -> a(b(c(x1))) 39.76/10.94 c(a(x1)) -> x1 39.76/10.94 c(b(x1)) -> a(a(c(x1))) 39.76/10.94 39.76/10.94 Q is empty. 39.76/10.94 39.76/10.94 ---------------------------------------- 39.76/10.94 39.76/10.94 (1) QTRS Reverse (EQUIVALENT) 39.76/10.94 We applied the QTRS Reverse Processor [REVERSE]. 39.76/10.94 ---------------------------------------- 39.76/10.94 39.76/10.94 (2) 39.76/10.94 Obligation: 39.76/10.94 Q restricted rewrite system: 39.76/10.94 The TRS R consists of the following rules: 39.76/10.94 39.76/10.94 a(a(x1)) -> c(b(a(x1))) 39.76/10.94 a(c(x1)) -> x1 39.76/10.94 b(c(x1)) -> c(a(a(x1))) 39.76/10.94 39.76/10.94 Q is empty. 39.76/10.94 39.76/10.94 ---------------------------------------- 39.76/10.94 39.76/10.94 (3) DependencyPairsProof (EQUIVALENT) 39.76/10.94 Using Dependency Pairs [AG00,LPAR04] we result in the following initial DP problem. 39.76/10.94 ---------------------------------------- 39.76/10.94 39.76/10.94 (4) 39.76/10.94 Obligation: 39.76/10.94 Q DP problem: 39.76/10.94 The TRS P consists of the following rules: 39.76/10.94 39.76/10.94 A(a(x1)) -> B(a(x1)) 39.76/10.94 B(c(x1)) -> A(a(x1)) 39.76/10.94 B(c(x1)) -> A(x1) 39.76/10.94 39.76/10.94 The TRS R consists of the following rules: 39.76/10.94 39.76/10.94 a(a(x1)) -> c(b(a(x1))) 39.76/10.94 a(c(x1)) -> x1 39.76/10.94 b(c(x1)) -> c(a(a(x1))) 39.76/10.94 39.76/10.94 Q is empty. 39.76/10.94 We have to consider all minimal (P,Q,R)-chains. 39.76/10.94 ---------------------------------------- 39.76/10.94 39.76/10.94 (5) QDPOrderProof (EQUIVALENT) 39.76/10.94 We use the reduction pair processor [LPAR04,JAR06]. 39.76/10.94 39.76/10.94 39.76/10.94 The following pairs can be oriented strictly and are deleted. 39.76/10.94 39.76/10.94 B(c(x1)) -> A(x1) 39.76/10.94 The remaining pairs can at least be oriented weakly. 39.76/10.94 Used ordering: Matrix interpretation [MATRO] with arctic integers [ARCTIC,STERNAGEL_THIEMANN_RTA14]: 39.76/10.94 39.76/10.94 <<< 39.76/10.94 POL(A(x_1)) = [[0A]] + [[-1A, -1A, -I]] * x_1 39.76/10.94 >>> 39.76/10.94 39.76/10.94 <<< 39.76/10.94 POL(a(x_1)) = [[0A], [1A], [-1A]] + [[-1A, -1A, -1A], [-I, 1A, -1A], [-I, -1A, -I]] * x_1 39.76/10.94 >>> 39.76/10.94 39.76/10.94 <<< 39.76/10.94 POL(B(x_1)) = [[0A]] + [[-1A, -1A, 1A]] * x_1 39.76/10.94 >>> 39.76/10.94 39.76/10.94 <<< 39.76/10.94 POL(c(x_1)) = [[0A], [-1A], [0A]] + [[-1A, -1A, -1A], [1A, -1A, 1A], [-1A, -1A, -1A]] * x_1 39.76/10.94 >>>
popout
output may be truncated. 'popout' for the full output.
job log
popout
actions
all output
return to SRS_Standard 2019-03-29 03.29