details

property	value
status	complete
benchmark	sym-6.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n095.star.cs.uiowa.edu
space	Waldmann_06_SRS

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	30.764 seconds
cpu usage	117.558
user time	114.618
system time	2.93952
max virtual memory	1.22306648E8
max residence set size	5394628.0

stage attributes

key	value
starexec-result	YES

output

117.13/30.66 YES 117.13/30.67 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 117.13/30.67 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 117.13/30.67 117.13/30.67 117.13/30.67 Termination w.r.t. Q of the given QTRS could be proven: 117.13/30.67 117.13/30.67 (0) QTRS 117.13/30.67 (1) QTRS Reverse [EQUIVALENT, 0 ms] 117.13/30.67 (2) QTRS 117.13/30.67 (3) DependencyPairsProof [EQUIVALENT, 2 ms] 117.13/30.67 (4) QDP 117.13/30.67 (5) QDPOrderProof [EQUIVALENT, 1031 ms] 117.13/30.67 (6) QDP 117.13/30.67 (7) QDPOrderProof [EQUIVALENT, 1358 ms] 117.13/30.67 (8) QDP 117.13/30.67 (9) QDPOrderProof [EQUIVALENT, 891 ms] 117.13/30.67 (10) QDP 117.13/30.67 (11) QDPOrderProof [EQUIVALENT, 181 ms] 117.13/30.67 (12) QDP 117.13/30.67 (13) DependencyGraphProof [EQUIVALENT, 0 ms] 117.13/30.67 (14) TRUE 117.13/30.67 117.13/30.67 117.13/30.67 ---------------------------------------- 117.13/30.67 117.13/30.67 (0) 117.13/30.67 Obligation: 117.13/30.67 Q restricted rewrite system: 117.13/30.67 The TRS R consists of the following rules: 117.13/30.67 117.13/30.67 c(c(c(c(x1)))) -> b(b(b(b(x1)))) 117.13/30.67 b(b(x1)) -> x1 117.13/30.67 b(b(x1)) -> c(b(c(x1))) 117.13/30.67 117.13/30.67 Q is empty. 117.13/30.67 117.13/30.67 ---------------------------------------- 117.13/30.67 117.13/30.67 (1) QTRS Reverse (EQUIVALENT) 117.13/30.67 We applied the QTRS Reverse Processor [REVERSE]. 117.13/30.67 ---------------------------------------- 117.13/30.67 117.13/30.67 (2) 117.13/30.67 Obligation: 117.13/30.67 Q restricted rewrite system: 117.13/30.67 The TRS R consists of the following rules: 117.13/30.67 117.13/30.67 c(c(c(c(x1)))) -> b(b(b(b(x1)))) 117.13/30.67 b(b(x1)) -> x1 117.13/30.67 b(b(x1)) -> c(b(c(x1))) 117.13/30.67 117.13/30.67 Q is empty. 117.13/30.67 117.13/30.67 ---------------------------------------- 117.13/30.67 117.13/30.67 (3) DependencyPairsProof (EQUIVALENT) 117.13/30.67 Using Dependency Pairs [AG00,LPAR04] we result in the following initial DP problem. 117.13/30.67 ---------------------------------------- 117.13/30.67 117.13/30.67 (4) 117.13/30.67 Obligation: 117.13/30.67 Q DP problem: 117.13/30.67 The TRS P consists of the following rules: 117.13/30.67 117.13/30.67 C(c(c(c(x1)))) -> B(b(b(b(x1)))) 117.13/30.67 C(c(c(c(x1)))) -> B(b(b(x1))) 117.13/30.67 C(c(c(c(x1)))) -> B(b(x1)) 117.13/30.67 C(c(c(c(x1)))) -> B(x1) 117.13/30.67 B(b(x1)) -> C(b(c(x1))) 117.13/30.67 B(b(x1)) -> B(c(x1)) 117.13/30.67 B(b(x1)) -> C(x1) 117.13/30.67 117.13/30.67 The TRS R consists of the following rules: 117.13/30.67 117.13/30.67 c(c(c(c(x1)))) -> b(b(b(b(x1)))) 117.13/30.67 b(b(x1)) -> x1 117.13/30.67 b(b(x1)) -> c(b(c(x1))) 117.13/30.67 117.13/30.67 Q is empty. 117.13/30.67 We have to consider all minimal (P,Q,R)-chains. 117.13/30.67 ---------------------------------------- 117.13/30.67 117.13/30.67 (5) QDPOrderProof (EQUIVALENT) 117.13/30.67 We use the reduction pair processor [LPAR04,JAR06]. 117.13/30.67 117.13/30.67 117.13/30.67 The following pairs can be oriented strictly and are deleted. 117.13/30.67 117.13/30.67 B(b(x1)) -> C(b(c(x1))) 117.13/30.67 The remaining pairs can at least be oriented weakly. 117.13/30.67 Used ordering: Matrix interpretation [MATRO] with arctic integers [ARCTIC,STERNAGEL_THIEMANN_RTA14]: 117.13/30.67 117.13/30.67 <<< 117.13/30.67 POL(C(x_1)) = [[0A]] + [[-1A, -1A, -I]] * x_1 117.13/30.67 >>> 117.13/30.67 117.13/30.67 <<< 117.13/30.67 POL(c(x_1)) = [[0A], [0A], [-I]] + [[-1A, 0A, -1A], [-1A, 1A, 0A], [-1A, -I, -I]] * x_1 117.13/30.67 >>> popout

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all output return to SRS_Standard 2019-03-29 03.29