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SRS_Standard 2019-03-29 03.29 pair #432290395
details
property
value
status
complete
benchmark
size-12-alpha-2-num-14.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n168.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
7.39226 seconds
cpu usage
25.594
user time
24.3199
system time
1.2741
max virtual memory
7.9954216E7
max residence set size
3623672.0
stage attributes
key
value
starexec-result
YES
output
23.44/6.78 YES 25.24/7.26 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 25.24/7.26 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 25.24/7.26 25.24/7.26 25.24/7.26 Termination w.r.t. Q of the given QTRS could be proven: 25.24/7.26 25.24/7.26 (0) QTRS 25.24/7.26 (1) QTRS Reverse [EQUIVALENT, 0 ms] 25.24/7.26 (2) QTRS 25.24/7.26 (3) DependencyPairsProof [EQUIVALENT, 0 ms] 25.24/7.26 (4) QDP 25.24/7.26 (5) DependencyGraphProof [EQUIVALENT, 2 ms] 25.24/7.26 (6) QDP 25.24/7.26 (7) QDPOrderProof [EQUIVALENT, 230 ms] 25.24/7.26 (8) QDP 25.24/7.26 (9) QDPOrderProof [EQUIVALENT, 98 ms] 25.24/7.26 (10) QDP 25.24/7.26 (11) PisEmptyProof [EQUIVALENT, 0 ms] 25.24/7.26 (12) YES 25.24/7.26 25.24/7.26 25.24/7.26 ---------------------------------------- 25.24/7.26 25.24/7.26 (0) 25.24/7.26 Obligation: 25.24/7.26 Q restricted rewrite system: 25.24/7.26 The TRS R consists of the following rules: 25.24/7.26 25.24/7.26 a(a(a(b(x1)))) -> b(a(b(a(a(a(x1)))))) 25.24/7.26 b(a(x1)) -> x1 25.24/7.26 25.24/7.26 Q is empty. 25.24/7.26 25.24/7.26 ---------------------------------------- 25.24/7.26 25.24/7.26 (1) QTRS Reverse (EQUIVALENT) 25.24/7.26 We applied the QTRS Reverse Processor [REVERSE]. 25.24/7.26 ---------------------------------------- 25.24/7.26 25.24/7.26 (2) 25.24/7.26 Obligation: 25.24/7.26 Q restricted rewrite system: 25.24/7.26 The TRS R consists of the following rules: 25.24/7.26 25.24/7.26 b(a(a(a(x1)))) -> a(a(a(b(a(b(x1)))))) 25.24/7.26 a(b(x1)) -> x1 25.24/7.26 25.24/7.26 Q is empty. 25.24/7.26 25.24/7.26 ---------------------------------------- 25.24/7.26 25.24/7.26 (3) DependencyPairsProof (EQUIVALENT) 25.24/7.26 Using Dependency Pairs [AG00,LPAR04] we result in the following initial DP problem. 25.24/7.26 ---------------------------------------- 25.24/7.26 25.24/7.26 (4) 25.24/7.26 Obligation: 25.24/7.26 Q DP problem: 25.24/7.26 The TRS P consists of the following rules: 25.24/7.26 25.24/7.26 B(a(a(a(x1)))) -> A(a(a(b(a(b(x1)))))) 25.24/7.26 B(a(a(a(x1)))) -> A(a(b(a(b(x1))))) 25.24/7.26 B(a(a(a(x1)))) -> A(b(a(b(x1)))) 25.24/7.26 B(a(a(a(x1)))) -> B(a(b(x1))) 25.24/7.26 B(a(a(a(x1)))) -> A(b(x1)) 25.24/7.26 B(a(a(a(x1)))) -> B(x1) 25.24/7.26 25.24/7.26 The TRS R consists of the following rules: 25.24/7.26 25.24/7.26 b(a(a(a(x1)))) -> a(a(a(b(a(b(x1)))))) 25.24/7.26 a(b(x1)) -> x1 25.24/7.26 25.24/7.26 Q is empty. 25.24/7.26 We have to consider all minimal (P,Q,R)-chains. 25.24/7.26 ---------------------------------------- 25.24/7.26 25.24/7.26 (5) DependencyGraphProof (EQUIVALENT) 25.24/7.26 The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 1 SCC with 4 less nodes. 25.24/7.26 ---------------------------------------- 25.24/7.26 25.24/7.26 (6) 25.24/7.26 Obligation: 25.24/7.26 Q DP problem: 25.24/7.26 The TRS P consists of the following rules: 25.24/7.26 25.24/7.26 B(a(a(a(x1)))) -> B(x1) 25.24/7.26 B(a(a(a(x1)))) -> B(a(b(x1))) 25.24/7.26 25.24/7.26 The TRS R consists of the following rules: 25.24/7.26 25.24/7.26 b(a(a(a(x1)))) -> a(a(a(b(a(b(x1)))))) 25.24/7.26 a(b(x1)) -> x1 25.24/7.26 25.24/7.26 Q is empty. 25.24/7.26 We have to consider all minimal (P,Q,R)-chains. 25.24/7.26 ---------------------------------------- 25.24/7.26 25.24/7.26 (7) QDPOrderProof (EQUIVALENT) 25.24/7.26 We use the reduction pair processor [LPAR04,JAR06].
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