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TRS_Conditional 2019-03-28 22.59 pair #432272657
details
property
value
status
complete
benchmark
jlap09-ex17.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n167.star.cs.uiowa.edu
space
Mixed_CTRS_2014
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
12.8229 seconds
cpu usage
30.4264
user time
29.9117
system time
0.514678
max virtual memory
1.8623044E7
max residence set size
1201076.0
stage attributes
key
value
starexec-result
MAYBE
output
30.07/12.75 MAYBE 30.07/12.76 proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml 30.07/12.76 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 30.07/12.76 30.07/12.76 30.07/12.76 Quasi decreasingness of the given CTRS could not be shown: 30.07/12.76 30.07/12.76 (0) CTRS 30.07/12.76 (1) CTRSToQTRSProof [SOUND, 0 ms] 30.07/12.76 (2) QTRS 30.07/12.76 (3) DependencyPairsProof [EQUIVALENT, 0 ms] 30.07/12.76 (4) QDP 30.07/12.76 (5) DependencyGraphProof [EQUIVALENT, 0 ms] 30.07/12.76 (6) QDP 30.07/12.76 (7) NonLoopProof [COMPLETE, 513 ms] 30.07/12.76 (8) NO 30.07/12.76 30.07/12.76 30.07/12.76 ---------------------------------------- 30.07/12.76 30.07/12.76 (0) 30.07/12.76 Obligation: 30.07/12.76 Conditional term rewrite system: 30.07/12.76 The TRS R consists of the following rules: 30.07/12.76 30.07/12.76 a -> h(b) 30.07/12.76 a -> h(c) 30.07/12.76 30.07/12.76 The conditional TRS C consists of the following conditional rules: 30.07/12.76 30.07/12.76 f(x) -> y <= a -> h(y) 30.07/12.76 g(x, b) -> g(f(c), x) <= f(b) -> x, x -> c 30.07/12.76 30.07/12.76 30.07/12.76 ---------------------------------------- 30.07/12.76 30.07/12.76 (1) CTRSToQTRSProof (SOUND) 30.07/12.76 The conditional rules have been transormed into unconditional rules according to [CTRS,AAECCNOC]. 30.07/12.76 ---------------------------------------- 30.07/12.76 30.07/12.76 (2) 30.07/12.76 Obligation: 30.07/12.76 Q restricted rewrite system: 30.07/12.76 The TRS R consists of the following rules: 30.07/12.76 30.07/12.76 f(x) -> U1(a) 30.07/12.76 U1(h(y)) -> y 30.07/12.76 g(x, b) -> U2(f(b), x) 30.07/12.76 U2(x, x) -> U3(x, x) 30.07/12.76 U3(c, x) -> g(f(c), x) 30.07/12.76 a -> h(b) 30.07/12.76 a -> h(c) 30.07/12.76 30.07/12.76 Q is empty. 30.07/12.76 30.07/12.76 ---------------------------------------- 30.07/12.76 30.07/12.76 (3) DependencyPairsProof (EQUIVALENT) 30.07/12.76 Using Dependency Pairs [AG00,LPAR04] we result in the following initial DP problem. 30.07/12.76 ---------------------------------------- 30.07/12.76 30.07/12.76 (4) 30.07/12.76 Obligation: 30.07/12.76 Q DP problem: 30.07/12.76 The TRS P consists of the following rules: 30.07/12.76 30.07/12.76 F(x) -> U1^1(a) 30.07/12.76 F(x) -> A 30.07/12.76 G(x, b) -> U2^1(f(b), x) 30.07/12.76 G(x, b) -> F(b) 30.07/12.76 U2^1(x, x) -> U3^1(x, x) 30.07/12.76 U3^1(c, x) -> G(f(c), x) 30.07/12.76 U3^1(c, x) -> F(c) 30.07/12.76 30.07/12.76 The TRS R consists of the following rules: 30.07/12.76 30.07/12.76 f(x) -> U1(a) 30.07/12.76 U1(h(y)) -> y 30.07/12.76 g(x, b) -> U2(f(b), x) 30.07/12.76 U2(x, x) -> U3(x, x) 30.07/12.76 U3(c, x) -> g(f(c), x) 30.07/12.76 a -> h(b) 30.07/12.76 a -> h(c) 30.07/12.76 30.07/12.76 Q is empty. 30.07/12.76 We have to consider all minimal (P,Q,R)-chains. 30.07/12.76 ---------------------------------------- 30.07/12.76 30.07/12.76 (5) DependencyGraphProof (EQUIVALENT) 30.07/12.76 The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 1 SCC with 4 less nodes. 30.07/12.76 ---------------------------------------- 30.07/12.76 30.07/12.76 (6) 30.07/12.76 Obligation: 30.07/12.76 Q DP problem: 30.07/12.76 The TRS P consists of the following rules: 30.07/12.76 30.07/12.76 G(x, b) -> U2^1(f(b), x) 30.07/12.76 U2^1(x, x) -> U3^1(x, x) 30.07/12.76 U3^1(c, x) -> G(f(c), x)
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