details

property	value
status	complete
benchmark	Ex2_Luc02a.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n164.star.cs.uiowa.edu
space	CSR_04

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	1.57432 seconds
cpu usage	3.65087
user time	3.49125
system time	0.159614
max virtual memory	1.8343352E7
max residence set size	236460.0

stage attributes

key	value
starexec-result	YES

output

3.44/1.53 YES 3.44/1.54 proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml 3.44/1.54 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 3.44/1.54 3.44/1.54 3.44/1.54 Termination of the given CSR could be proven: 3.44/1.54 3.44/1.54 (0) CSR 3.44/1.54 (1) CSRInnermostProof [EQUIVALENT, 0 ms] 3.44/1.54 (2) CSR 3.44/1.54 (3) CSDependencyPairsProof [EQUIVALENT, 11 ms] 3.44/1.54 (4) QCSDP 3.44/1.54 (5) QCSDependencyGraphProof [EQUIVALENT, 0 ms] 3.44/1.54 (6) AND 3.44/1.54 (7) QCSDP 3.44/1.54 (8) QCSDPSubtermProof [EQUIVALENT, 0 ms] 3.44/1.54 (9) QCSDP 3.44/1.54 (10) PIsEmptyProof [EQUIVALENT, 0 ms] 3.44/1.54 (11) YES 3.44/1.54 (12) QCSDP 3.44/1.54 (13) QCSDPSubtermProof [EQUIVALENT, 0 ms] 3.44/1.54 (14) QCSDP 3.44/1.54 (15) PIsEmptyProof [EQUIVALENT, 0 ms] 3.44/1.54 (16) YES 3.44/1.54 (17) QCSDP 3.44/1.54 (18) QCSDPSubtermProof [EQUIVALENT, 0 ms] 3.44/1.54 (19) QCSDP 3.44/1.54 (20) PIsEmptyProof [EQUIVALENT, 0 ms] 3.44/1.54 (21) YES 3.44/1.54 3.44/1.54 3.44/1.54 ---------------------------------------- 3.44/1.54 3.44/1.54 (0) 3.44/1.54 Obligation: 3.44/1.54 Context-sensitive rewrite system: 3.44/1.54 The TRS R consists of the following rules: 3.44/1.54 3.44/1.54 terms(N) -> cons(recip(sqr(N)), terms(s(N))) 3.44/1.54 sqr(0) -> 0 3.44/1.54 sqr(s(X)) -> s(add(sqr(X), dbl(X))) 3.44/1.54 dbl(0) -> 0 3.44/1.54 dbl(s(X)) -> s(s(dbl(X))) 3.44/1.54 add(0, X) -> X 3.44/1.54 add(s(X), Y) -> s(add(X, Y)) 3.44/1.54 first(0, X) -> nil 3.44/1.54 first(s(X), cons(Y, Z)) -> cons(Y, first(X, Z)) 3.44/1.54 3.44/1.54 The replacement map contains the following entries: 3.44/1.54 3.44/1.54 terms: {1} 3.44/1.54 cons: {1} 3.44/1.54 recip: {1} 3.44/1.54 sqr: {1} 3.44/1.54 s: {1} 3.44/1.54 0: empty set 3.44/1.54 add: {1, 2} 3.44/1.54 dbl: {1} 3.44/1.54 first: {1, 2} 3.44/1.54 nil: empty set 3.44/1.54 3.44/1.54 ---------------------------------------- 3.44/1.54 3.44/1.54 (1) CSRInnermostProof (EQUIVALENT) 3.44/1.54 The CSR is orthogonal. By [CS_Inn] we can switch to innermost. 3.44/1.54 ---------------------------------------- 3.44/1.54 3.44/1.54 (2) 3.44/1.54 Obligation: 3.44/1.54 Context-sensitive rewrite system: 3.44/1.54 The TRS R consists of the following rules: 3.44/1.54 3.44/1.54 terms(N) -> cons(recip(sqr(N)), terms(s(N))) 3.44/1.54 sqr(0) -> 0 3.44/1.54 sqr(s(X)) -> s(add(sqr(X), dbl(X))) 3.44/1.54 dbl(0) -> 0 3.44/1.54 dbl(s(X)) -> s(s(dbl(X))) 3.44/1.54 add(0, X) -> X 3.44/1.54 add(s(X), Y) -> s(add(X, Y)) 3.44/1.54 first(0, X) -> nil 3.44/1.54 first(s(X), cons(Y, Z)) -> cons(Y, first(X, Z)) 3.44/1.54 3.44/1.54 The replacement map contains the following entries: 3.44/1.54 3.44/1.54 terms: {1} 3.44/1.54 cons: {1} 3.44/1.54 recip: {1} 3.44/1.54 sqr: {1} 3.44/1.54 s: {1} 3.44/1.54 0: empty set 3.44/1.54 add: {1, 2} 3.44/1.54 dbl: {1} 3.44/1.54 first: {1, 2} 3.44/1.54 nil: empty set 3.44/1.54 3.44/1.54 3.44/1.54 Innermost Strategy. 3.44/1.54 3.44/1.54 ---------------------------------------- 3.44/1.54 popout

output may be truncated. 'popout' for the full output.

job log

popout

actions

all output return to TRS_Contextsensitive 2019-03-21 05.07