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SRS_Standard 2019-03-29 03.29 pair #432287275
details
property
value
status
complete
benchmark
212612.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n114.star.cs.uiowa.edu
space
ICFP_2010
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
32.7162 seconds
cpu usage
125.31
user time
121.768
system time
3.54217
max virtual memory
1.04695488E8
max residence set size
6063168.0
stage attributes
key
value
starexec-result
YES
output
124.37/32.48 YES 125.01/32.59 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 125.01/32.59 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 125.01/32.59 125.01/32.59 125.01/32.59 Termination w.r.t. Q of the given QTRS could be proven: 125.01/32.59 125.01/32.59 (0) QTRS 125.01/32.59 (1) QTRS Reverse [EQUIVALENT, 0 ms] 125.01/32.59 (2) QTRS 125.01/32.59 (3) FlatCCProof [EQUIVALENT, 0 ms] 125.01/32.59 (4) QTRS 125.01/32.59 (5) RootLabelingProof [EQUIVALENT, 34 ms] 125.01/32.59 (6) QTRS 125.01/32.59 (7) QTRSRRRProof [EQUIVALENT, 9808 ms] 125.01/32.59 (8) QTRS 125.01/32.59 (9) QTRSRRRProof [EQUIVALENT, 13 ms] 125.01/32.59 (10) QTRS 125.01/32.59 (11) QTRSRRRProof [EQUIVALENT, 10 ms] 125.01/32.59 (12) QTRS 125.01/32.59 (13) QTRSRRRProof [EQUIVALENT, 40 ms] 125.01/32.59 (14) QTRS 125.01/32.59 (15) QTRSRRRProof [EQUIVALENT, 35 ms] 125.01/32.59 (16) QTRS 125.01/32.59 (17) QTRSRRRProof [EQUIVALENT, 0 ms] 125.01/32.59 (18) QTRS 125.01/32.59 (19) QTRSRRRProof [EQUIVALENT, 28 ms] 125.01/32.59 (20) QTRS 125.01/32.59 (21) DependencyPairsProof [EQUIVALENT, 29 ms] 125.01/32.59 (22) QDP 125.01/32.59 (23) DependencyGraphProof [EQUIVALENT, 0 ms] 125.01/32.59 (24) QDP 125.01/32.59 (25) UsableRulesProof [EQUIVALENT, 0 ms] 125.01/32.59 (26) QDP 125.01/32.59 (27) DependencyGraphProof [EQUIVALENT, 0 ms] 125.01/32.59 (28) QDP 125.01/32.59 (29) UsableRulesProof [EQUIVALENT, 0 ms] 125.01/32.59 (30) QDP 125.01/32.59 (31) QDPOrderProof [EQUIVALENT, 0 ms] 125.01/32.59 (32) QDP 125.01/32.59 (33) DependencyGraphProof [EQUIVALENT, 0 ms] 125.01/32.59 (34) QDP 125.01/32.59 (35) QDPOrderProof [EQUIVALENT, 7 ms] 125.01/32.59 (36) QDP 125.01/32.59 (37) PisEmptyProof [EQUIVALENT, 0 ms] 125.01/32.59 (38) YES 125.01/32.59 125.01/32.59 125.01/32.59 ---------------------------------------- 125.01/32.59 125.01/32.59 (0) 125.01/32.59 Obligation: 125.01/32.59 Q restricted rewrite system: 125.01/32.59 The TRS R consists of the following rules: 125.01/32.59 125.01/32.59 0(0(1(x1))) -> 2(0(3(3(0(1(x1)))))) 125.01/32.59 0(1(0(x1))) -> 0(1(3(4(0(3(x1)))))) 125.01/32.59 0(1(0(x1))) -> 2(0(3(0(1(4(x1)))))) 125.01/32.59 0(1(1(x1))) -> 0(3(1(3(1(x1))))) 125.01/32.59 0(1(1(x1))) -> 1(3(0(1(4(x1))))) 125.01/32.59 0(1(1(x1))) -> 0(1(3(1(3(1(x1)))))) 125.01/32.59 0(1(1(x1))) -> 1(3(2(1(3(0(x1)))))) 125.01/32.59 0(1(1(x1))) -> 1(3(3(1(4(0(x1)))))) 125.01/32.59 0(1(1(x1))) -> 3(0(3(1(5(1(x1)))))) 125.01/32.59 0(1(1(x1))) -> 5(0(3(1(5(1(x1)))))) 125.01/32.59 0(5(0(x1))) -> 3(0(3(5(0(x1))))) 125.01/32.59 0(5(0(x1))) -> 3(5(0(0(3(x1))))) 125.01/32.59 0(5(0(x1))) -> 5(0(3(0(2(x1))))) 125.01/32.59 0(5(0(x1))) -> 5(0(3(3(0(x1))))) 125.01/32.59 0(5(0(x1))) -> 4(5(0(3(3(0(x1)))))) 125.01/32.59 0(5(0(x1))) -> 4(5(0(3(5(0(x1)))))) 125.01/32.59 0(5(0(x1))) -> 5(3(0(1(3(0(x1)))))) 125.01/32.59 2(0(0(x1))) -> 0(3(0(3(2(x1))))) 125.01/32.59 2(0(0(x1))) -> 0(3(3(0(2(3(x1)))))) 125.01/32.59 2(0(0(x1))) -> 0(3(5(2(0(3(x1)))))) 125.01/32.59 5(1(0(x1))) -> 3(5(0(1(4(3(x1)))))) 125.01/32.59 5(1(0(x1))) -> 3(5(1(4(0(3(x1)))))) 125.01/32.59 5(1(1(x1))) -> 3(1(5(1(x1)))) 125.01/32.59 5(1(1(x1))) -> 1(3(1(3(5(x1))))) 125.01/32.59 5(1(1(x1))) -> 1(3(3(3(5(1(x1)))))) 125.01/32.59 5(1(1(x1))) -> 1(3(5(5(1(4(x1)))))) 125.01/32.59 0(2(0(1(x1)))) -> 0(2(3(3(0(1(x1)))))) 125.01/32.59 0(5(1(0(x1)))) -> 0(0(1(3(5(x1))))) 125.01/32.59 0(5(4(0(x1)))) -> 0(4(5(0(3(x1))))) 125.01/32.59 2(0(2(0(x1)))) -> 3(0(3(0(2(2(x1)))))) 125.01/32.59 2(0(4(1(x1)))) -> 2(3(0(1(4(4(x1)))))) 125.01/32.59 2(0(5(0(x1)))) -> 0(0(3(5(2(x1))))) 125.01/32.59 2(2(4(1(x1)))) -> 3(2(4(3(2(1(x1)))))) 125.01/32.59 5(1(0(1(x1)))) -> 0(5(1(4(3(1(x1)))))) 125.01/32.59 5(1(1(0(x1)))) -> 0(5(1(5(1(x1))))) 125.01/32.59 5(1(2(0(x1)))) -> 3(1(3(5(0(2(x1)))))) 125.01/32.59 5(1(5(0(x1)))) -> 5(3(5(0(1(x1))))) 125.01/32.59 5(2(0(1(x1)))) -> 5(1(0(3(2(x1))))) 125.01/32.59 5(3(1(1(x1)))) -> 5(3(1(3(1(5(x1)))))) 125.01/32.59 5(4(1(1(x1)))) -> 5(1(4(1(4(5(x1)))))) 125.01/32.59 5(5(1(0(x1)))) -> 5(0(5(1(3(x1))))) 125.01/32.59 5(5(1(1(x1)))) -> 5(1(3(5(0(1(x1)))))) 125.01/32.59 0(2(4(1(0(x1))))) -> 2(4(0(0(1(3(x1)))))) 125.01/32.59 0(5(5(1(1(x1))))) -> 5(1(3(5(0(1(x1)))))) 125.01/32.59 2(2(2(4(1(x1))))) -> 1(2(2(1(4(2(x1))))))
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