details

property	value
status	complete
benchmark	Ex49_GM04.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n143.star.cs.uiowa.edu
space	CSR_04

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	1.5681 seconds
cpu usage	3.65097
user time	3.49274
system time	0.158234
max virtual memory	1.8407092E7
max residence set size	228076.0

stage attributes

key	value
starexec-result	YES

output

YES proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination of the given CSR could be proven: (0) CSR (1) CSRRRRProof [EQUIVALENT, 48 ms] (2) CSR (3) CSRRRRProof [EQUIVALENT, 16 ms] (4) CSR (5) CSRRRRProof [EQUIVALENT, 0 ms] (6) CSR (7) CSRRRRProof [EQUIVALENT, 0 ms] (8) CSR (9) RisEmptyProof [EQUIVALENT, 0 ms] (10) YES ---------------------------------------- (0) Obligation: Context-sensitive rewrite system: The TRS R consists of the following rules: minus(0, Y) -> 0 minus(s(X), s(Y)) -> minus(X, Y) geq(X, 0) -> true geq(0, s(Y)) -> false geq(s(X), s(Y)) -> geq(X, Y) div(0, s(Y)) -> 0 div(s(X), s(Y)) -> if(geq(X, Y), s(div(minus(X, Y), s(Y))), 0) if(true, X, Y) -> X if(false, X, Y) -> Y The replacement map contains the following entries: minus: empty set 0: empty set s: {1} geq: empty set true: empty set false: empty set div: {1} if: {1} ---------------------------------------- (1) CSRRRRProof (EQUIVALENT) The following CSR is given: Context-sensitive rewrite system: The TRS R consists of the following rules: minus(0, Y) -> 0 minus(s(X), s(Y)) -> minus(X, Y) geq(X, 0) -> true geq(0, s(Y)) -> false geq(s(X), s(Y)) -> geq(X, Y) div(0, s(Y)) -> 0 div(s(X), s(Y)) -> if(geq(X, Y), s(div(minus(X, Y), s(Y))), 0) if(true, X, Y) -> X if(false, X, Y) -> Y The replacement map contains the following entries: minus: empty set 0: empty set s: {1} geq: empty set true: empty set false: empty set div: {1} if: {1} Used ordering: Polynomial interpretation [POLO]: POL(0) = 0 POL(div(x_1, x_2)) = 2*x_1 POL(false) = 0 POL(geq(x_1, x_2)) = x_1 POL(if(x_1, x_2, x_3)) = x_1 + 2*x_2 + 2*x_3 POL(minus(x_1, x_2)) = 0 POL(s(x_1)) = 1 + 2*x_1 POL(true) = 0 With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly: geq(s(X), s(Y)) -> geq(X, Y) ---------------------------------------- (2) Obligation: Context-sensitive rewrite system: The TRS R consists of the following rules: minus(0, Y) -> 0 popout

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job log

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actions

all output return to TRS Contextsensitive