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SRS_Standard 2019-03-29 03.29 pair #432287377
details
property
value
status
complete
benchmark
68535.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n155.star.cs.uiowa.edu
space
ICFP_2010
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
61.6424 seconds
cpu usage
239.07
user time
231.827
system time
7.2438
max virtual memory
8.4028668E7
max residence set size
1.2799336E7
stage attributes
key
value
starexec-result
YES
output
236.92/61.08 YES 238.69/61.55 proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml 238.69/61.55 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 238.69/61.55 238.69/61.55 238.69/61.55 Termination w.r.t. Q of the given QTRS could be proven: 238.69/61.55 238.69/61.55 (0) QTRS 238.69/61.55 (1) QTRSRRRProof [EQUIVALENT, 160 ms] 238.69/61.55 (2) QTRS 238.69/61.55 (3) DependencyPairsProof [EQUIVALENT, 516 ms] 238.69/61.55 (4) QDP 238.69/61.55 (5) QDPOrderProof [EQUIVALENT, 1343 ms] 238.69/61.55 (6) QDP 238.69/61.55 (7) DependencyGraphProof [EQUIVALENT, 0 ms] 238.69/61.55 (8) AND 238.69/61.55 (9) QDP 238.69/61.55 (10) QDPOrderProof [EQUIVALENT, 63 ms] 238.69/61.55 (11) QDP 238.69/61.55 (12) QDPOrderProof [EQUIVALENT, 39 ms] 238.69/61.55 (13) QDP 238.69/61.55 (14) PisEmptyProof [EQUIVALENT, 0 ms] 238.69/61.55 (15) YES 238.69/61.55 (16) QDP 238.69/61.55 (17) QDPOrderProof [EQUIVALENT, 3100 ms] 238.69/61.55 (18) QDP 238.69/61.55 (19) PisEmptyProof [EQUIVALENT, 0 ms] 238.69/61.55 (20) YES 238.69/61.55 (21) QDP 238.69/61.55 (22) QDPOrderProof [EQUIVALENT, 72 ms] 238.69/61.55 (23) QDP 238.69/61.55 (24) QDPOrderProof [EQUIVALENT, 35 ms] 238.69/61.55 (25) QDP 238.69/61.55 (26) QDPOrderProof [EQUIVALENT, 3660 ms] 238.69/61.55 (27) QDP 238.69/61.55 (28) QDPOrderProof [EQUIVALENT, 3694 ms] 238.69/61.55 (29) QDP 238.69/61.55 (30) PisEmptyProof [EQUIVALENT, 0 ms] 238.69/61.55 (31) YES 238.69/61.55 (32) QDP 238.69/61.55 (33) QDPOrderProof [EQUIVALENT, 81 ms] 238.69/61.55 (34) QDP 238.69/61.55 (35) QDPOrderProof [EQUIVALENT, 68 ms] 238.69/61.55 (36) QDP 238.69/61.55 (37) QDPOrderProof [EQUIVALENT, 0 ms] 238.69/61.55 (38) QDP 238.69/61.55 (39) DependencyGraphProof [EQUIVALENT, 0 ms] 238.69/61.55 (40) QDP 238.69/61.55 (41) QDPOrderProof [EQUIVALENT, 46 ms] 238.69/61.55 (42) QDP 238.69/61.55 (43) QDPOrderProof [EQUIVALENT, 54 ms] 238.69/61.55 (44) QDP 238.69/61.55 (45) PisEmptyProof [EQUIVALENT, 0 ms] 238.69/61.55 (46) YES 238.69/61.55 238.69/61.55 238.69/61.55 ---------------------------------------- 238.69/61.55 238.69/61.55 (0) 238.69/61.55 Obligation: 238.69/61.55 Q restricted rewrite system: 238.69/61.55 The TRS R consists of the following rules: 238.69/61.55 238.69/61.55 0(0(1(1(x1)))) -> 2(2(1(3(x1)))) 238.69/61.55 1(4(0(4(x1)))) -> 1(2(3(1(x1)))) 238.69/61.55 3(4(3(1(1(x1))))) -> 3(4(0(3(1(x1))))) 238.69/61.55 1(3(1(1(0(4(x1)))))) -> 1(3(0(2(0(4(x1)))))) 238.69/61.55 2(4(4(5(4(4(3(x1))))))) -> 2(4(2(3(4(2(2(x1))))))) 238.69/61.55 5(5(4(2(0(2(3(x1))))))) -> 5(2(4(1(2(3(3(x1))))))) 238.69/61.55 0(4(5(2(1(2(0(1(x1)))))))) -> 0(1(5(4(2(5(0(0(x1)))))))) 238.69/61.55 4(4(1(4(0(0(1(3(x1)))))))) -> 4(1(2(3(4(2(5(3(x1)))))))) 238.69/61.55 4(3(0(2(5(3(1(2(3(x1))))))))) -> 4(1(1(0(0(0(5(3(x1)))))))) 238.69/61.55 4(0(5(5(3(2(1(0(0(0(x1)))))))))) -> 1(4(3(3(4(3(3(1(0(0(x1)))))))))) 238.69/61.55 4(1(5(2(4(0(1(1(0(1(x1)))))))))) -> 0(1(0(2(5(0(5(3(5(4(x1)))))))))) 238.69/61.55 3(0(4(4(4(5(3(1(2(5(0(4(x1)))))))))))) -> 5(3(3(0(3(5(1(0(0(1(0(x1))))))))))) 238.69/61.55 4(5(2(2(5(1(5(0(4(0(1(1(x1)))))))))))) -> 4(1(1(4(3(2(2(3(5(2(1(3(x1)))))))))))) 238.69/61.55 5(4(2(3(0(4(3(2(2(2(4(1(x1)))))))))))) -> 5(1(0(2(4(4(4(5(1(4(1(x1))))))))))) 238.69/61.55 3(0(0(2(1(1(3(1(5(0(5(1(0(5(x1)))))))))))))) -> 5(1(0(1(2(2(1(3(3(1(0(2(5(x1))))))))))))) 238.69/61.55 0(4(2(4(1(1(5(3(0(2(2(0(5(1(5(x1))))))))))))))) -> 1(1(0(0(3(5(5(1(1(2(5(3(5(5(x1)))))))))))))) 238.69/61.55 0(5(1(3(5(4(4(0(5(1(2(0(0(5(3(x1))))))))))))))) -> 0(4(0(0(3(4(3(3(5(0(4(3(3(1(3(x1))))))))))))))) 238.69/61.55 2(4(2(0(0(1(3(4(2(1(5(2(2(0(4(1(x1)))))))))))))))) -> 3(2(2(3(4(1(2(1(0(3(1(2(3(2(1(1(x1)))))))))))))))) 238.69/61.55 0(0(0(2(0(3(0(5(1(0(5(0(5(1(0(4(3(x1))))))))))))))))) -> 0(0(1(4(5(0(0(2(0(0(1(1(3(2(5(3(x1)))))))))))))))) 238.69/61.55 1(4(0(4(0(4(0(2(2(5(5(3(1(1(0(0(3(x1))))))))))))))))) -> 1(1(0(0(3(4(4(4(4(4(2(3(3(1(0(4(3(x1))))))))))))))))) 238.69/61.55 2(2(5(1(1(3(5(4(0(5(5(2(4(1(4(4(1(x1))))))))))))))))) -> 4(1(1(2(3(3(1(1(4(5(3(1(3(2(4(0(2(x1))))))))))))))))) 238.69/61.55 1(0(3(3(1(4(3(3(5(0(4(2(4(3(4(2(0(2(x1)))))))))))))))))) -> 1(0(5(1(0(2(0(0(4(0(2(5(0(2(5(2(2(2(x1)))))))))))))))))) 238.69/61.55 2(4(2(1(5(5(0(1(0(4(2(2(2(3(4(1(0(4(x1)))))))))))))))))) -> 2(1(3(2(1(2(2(5(1(1(3(5(4(4(5(5(5(x1))))))))))))))))) 238.69/61.55 5(4(2(2(4(2(1(1(0(5(1(5(2(4(0(1(3(5(x1)))))))))))))))))) -> 5(1(2(2(3(1(5(2(5(1(1(3(4(2(4(0(5(5(x1)))))))))))))))))) 238.69/61.55 0(1(2(4(3(4(2(1(1(0(4(5(4(0(4(5(4(5(3(4(1(x1))))))))))))))))))))) -> 2(4(0(1(5(0(1(2(3(0(4(1(4(1(5(3(4(1(5(0(2(x1))))))))))))))))))))) 238.69/61.55 238.69/61.55 Q is empty. 238.69/61.55 238.69/61.55 ---------------------------------------- 238.69/61.55 238.69/61.55 (1) QTRSRRRProof (EQUIVALENT) 238.69/61.55 Used ordering: 238.69/61.55 Polynomial interpretation [POLO]: 238.69/61.55 238.69/61.55 POL(0(x_1)) = 1 + x_1 238.69/61.55 POL(1(x_1)) = 1 + x_1 238.69/61.55 POL(2(x_1)) = 1 + x_1
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