details

property	value
status	complete
benchmark	AC28.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n136.star.cs.uiowa.edu
space	AProVE_AC_04

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	5.68519 seconds
cpu usage	13.5548
user time	13.0197
system time	0.535105
max virtual memory	1.8343352E7
max residence set size	1387984.0

stage attributes

key	value
starexec-result	YES

output

13.45/5.64 YES 13.45/5.65 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 13.45/5.65 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 13.45/5.65 13.45/5.65 13.45/5.65 Termination of the given ETRS could be proven: 13.45/5.65 13.45/5.65 (0) ETRS 13.45/5.65 (1) RRRPoloETRSProof [EQUIVALENT, 1420 ms] 13.45/5.65 (2) ETRS 13.45/5.65 (3) RRRPoloETRSProof [EQUIVALENT, 907 ms] 13.45/5.65 (4) ETRS 13.45/5.65 (5) RRRPoloETRSProof [EQUIVALENT, 647 ms] 13.45/5.65 (6) ETRS 13.45/5.65 (7) EquationalDependencyPairsProof [EQUIVALENT, 24 ms] 13.45/5.65 (8) EDP 13.45/5.65 (9) EDependencyGraphProof [EQUIVALENT, 0 ms] 13.45/5.65 (10) EDP 13.45/5.65 (11) EUsableRulesReductionPairsProof [EQUIVALENT, 0 ms] 13.45/5.65 (12) EDP 13.45/5.65 (13) PisEmptyProof [EQUIVALENT, 0 ms] 13.45/5.65 (14) YES 13.45/5.65 13.45/5.65 13.45/5.65 ---------------------------------------- 13.45/5.65 13.45/5.65 (0) 13.45/5.65 Obligation: 13.45/5.65 Equational rewrite system: 13.45/5.65 The TRS R consists of the following rules: 13.45/5.65 13.45/5.65 union(empty, X) -> X 13.45/5.65 max(singl(x)) -> x 13.45/5.65 max(union(singl(x), singl(0))) -> x 13.45/5.65 max(union(singl(s(x)), singl(s(y)))) -> s(max(union(singl(x), singl(y)))) 13.45/5.65 max(union(singl(x), union(Y, Z))) -> max(union(singl(x), singl(max(union(Y, Z))))) 13.45/5.65 13.45/5.65 The set E consists of the following equations: 13.45/5.65 13.45/5.65 union(x, y) == union(y, x) 13.45/5.65 union(union(x, y), z) == union(x, union(y, z)) 13.45/5.65 13.45/5.65 13.45/5.65 ---------------------------------------- 13.45/5.65 13.45/5.65 (1) RRRPoloETRSProof (EQUIVALENT) 13.45/5.65 The following E TRS is given: Equational rewrite system: 13.45/5.65 The TRS R consists of the following rules: 13.45/5.65 13.45/5.65 union(empty, X) -> X 13.45/5.65 max(singl(x)) -> x 13.45/5.65 max(union(singl(x), singl(0))) -> x 13.45/5.65 max(union(singl(s(x)), singl(s(y)))) -> s(max(union(singl(x), singl(y)))) 13.45/5.65 max(union(singl(x), union(Y, Z))) -> max(union(singl(x), singl(max(union(Y, Z))))) 13.45/5.65 13.45/5.65 The set E consists of the following equations: 13.45/5.65 13.45/5.65 union(x, y) == union(y, x) 13.45/5.65 union(union(x, y), z) == union(x, union(y, z)) 13.45/5.65 13.45/5.65 The following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly by a polynomial ordering: 13.45/5.65 13.45/5.65 union(empty, X) -> X 13.45/5.65 Used ordering: 13.45/5.65 Polynomial interpretation [POLO]: 13.45/5.65 13.45/5.65 POL(0) = 0 13.45/5.65 POL(empty) = 1 13.45/5.65 POL(max(x_1)) = x_1 13.45/5.65 POL(s(x_1)) = x_1 13.45/5.65 POL(singl(x_1)) = x_1 13.45/5.65 POL(union(x_1, x_2)) = x_1 + x_2 13.45/5.65 13.45/5.65 13.45/5.65 13.45/5.65 13.45/5.65 ---------------------------------------- 13.45/5.65 13.45/5.65 (2) 13.45/5.65 Obligation: 13.45/5.65 Equational rewrite system: 13.45/5.65 The TRS R consists of the following rules: 13.45/5.65 13.45/5.65 max(singl(x)) -> x 13.45/5.65 max(union(singl(x), singl(0))) -> x 13.45/5.65 max(union(singl(s(x)), singl(s(y)))) -> s(max(union(singl(x), singl(y)))) 13.45/5.65 max(union(singl(x), union(Y, Z))) -> max(union(singl(x), singl(max(union(Y, Z))))) 13.45/5.65 13.45/5.65 The set E consists of the following equations: 13.45/5.65 13.45/5.65 union(x, y) == union(y, x) 13.45/5.65 union(union(x, y), z) == union(x, union(y, z)) 13.45/5.65 13.45/5.65 13.45/5.65 ---------------------------------------- 13.45/5.65 13.45/5.65 (3) RRRPoloETRSProof (EQUIVALENT) 13.45/5.65 The following E TRS is given: Equational rewrite system: 13.45/5.65 The TRS R consists of the following rules: 13.45/5.65 popout

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all output return to TRS_Equational 2019-03-21 05.09