details

property	value
status	complete
benchmark	3385.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n141.star.cs.uiowa.edu
space	ICFP_2010

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	16.1353 seconds
cpu usage	59.7291
user time	57.1042
system time	2.62487
max virtual memory	5.9636408E7
max residence set size	4799108.0

stage attributes

key	value
starexec-result	YES

output

YES proof of /export/starexec/sandbox/benchmark/theBenchmark.xml # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) FlatCCProof [EQUIVALENT, 0 ms] (2) QTRS (3) RootLabelingProof [EQUIVALENT, 26 ms] (4) QTRS (5) QTRSRRRProof [EQUIVALENT, 851 ms] (6) QTRS (7) QTRSRRRProof [EQUIVALENT, 175 ms] (8) QTRS (9) QTRSRRRProof [EQUIVALENT, 112 ms] (10) QTRS (11) QTRSRRRProof [EQUIVALENT, 116 ms] (12) QTRS (13) QTRSRRRProof [EQUIVALENT, 70 ms] (14) QTRS (15) QTRSRRRProof [EQUIVALENT, 85 ms] (16) QTRS (17) QTRSRRRProof [EQUIVALENT, 74 ms] (18) QTRS (19) QTRSRRRProof [EQUIVALENT, 62 ms] (20) QTRS (21) QTRSRRRProof [EQUIVALENT, 27 ms] (22) QTRS (23) QTRSRRRProof [EQUIVALENT, 2 ms] (24) QTRS (25) QTRSRRRProof [EQUIVALENT, 0 ms] (26) QTRS (27) QTRSRRRProof [EQUIVALENT, 2 ms] (28) QTRS (29) QTRSRRRProof [EQUIVALENT, 1 ms] (30) QTRS (31) QTRSRRRProof [EQUIVALENT, 0 ms] (32) QTRS (33) QTRSRRRProof [EQUIVALENT, 0 ms] (34) QTRS (35) RisEmptyProof [EQUIVALENT, 0 ms] (36) YES ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: 0(4(x1)) -> 0(1(4(2(3(3(x1)))))) 0(4(x1)) -> 0(2(1(4(3(4(x1)))))) 0(0(4(x1))) -> 1(1(5(2(3(4(x1)))))) 0(1(1(x1))) -> 0(2(2(1(1(1(x1)))))) 0(1(3(x1))) -> 0(2(4(3(4(4(x1)))))) 0(2(4(x1))) -> 1(5(4(3(4(4(x1)))))) 0(4(0(x1))) -> 0(1(2(1(0(3(x1)))))) 1(2(3(x1))) -> 5(1(4(1(4(4(x1)))))) 1(3(3(x1))) -> 0(2(1(1(0(5(x1)))))) 1(3(3(x1))) -> 5(4(0(3(2(3(x1)))))) 1(3(5(x1))) -> 1(1(4(3(3(2(x1)))))) 2(0(0(x1))) -> 2(4(3(4(4(4(x1)))))) 2(0(1(x1))) -> 2(1(5(1(0(1(x1)))))) 2(0(1(x1))) -> 2(4(3(5(2(3(x1)))))) 2(0(4(x1))) -> 2(0(2(1(4(3(x1)))))) 2(0(4(x1))) -> 2(4(1(4(3(1(x1)))))) 3(0(1(x1))) -> 3(1(4(3(4(1(x1)))))) 3(0(5(x1))) -> 3(1(0(2(3(2(x1)))))) 4(0(0(x1))) -> 2(5(2(1(1(1(x1)))))) 4(0(5(x1))) -> 4(1(4(5(1(4(x1)))))) 4(0(5(x1))) -> 4(2(1(4(3(5(x1)))))) 5(0(2(x1))) -> 1(5(2(1(0(2(x1)))))) 5(0(4(x1))) -> 1(0(3(2(4(4(x1)))))) 5(0(4(x1))) -> 1(5(1(0(3(4(x1)))))) Q is empty. ---------------------------------------- (1) FlatCCProof (EQUIVALENT) We used flat context closure [ROOTLAB] As Q is empty the flat context closure was sound AND complete. ---------------------------------------- (2) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: 0(4(x1)) -> 0(1(4(2(3(3(x1)))))) 0(4(x1)) -> 0(2(1(4(3(4(x1)))))) 0(1(1(x1))) -> 0(2(2(1(1(1(x1)))))) 0(1(3(x1))) -> 0(2(4(3(4(4(x1)))))) 0(4(0(x1))) -> 0(1(2(1(0(3(x1)))))) 1(3(5(x1))) -> 1(1(4(3(3(2(x1)))))) 2(0(0(x1))) -> 2(4(3(4(4(4(x1)))))) popout

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all output return to SRS Standard