details

property	value
status	complete
benchmark	csrdiv.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n176.star.cs.uiowa.edu
space	Maude_06

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	5.15763 seconds
cpu usage	17.0359
user time	16.1374
system time	0.898546
max virtual memory	3.6837728E7
max residence set size	2417552.0

stage attributes

key	value
starexec-result	YES

output

16.90/5.07 YES 16.90/5.08 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 16.90/5.08 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 16.90/5.08 16.90/5.08 16.90/5.08 Termination of the given CSR could be proven: 16.90/5.08 16.90/5.08 (0) CSR 16.90/5.08 (1) CSRInnermostProof [EQUIVALENT, 0 ms] 16.90/5.08 (2) CSR 16.90/5.08 (3) CSDependencyPairsProof [EQUIVALENT, 8 ms] 16.90/5.08 (4) QCSDP 16.90/5.08 (5) QCSDependencyGraphProof [EQUIVALENT, 0 ms] 16.90/5.08 (6) AND 16.90/5.08 (7) QCSDP 16.90/5.08 (8) QCSDPReductionPairProof [EQUIVALENT, 46 ms] 16.90/5.08 (9) QCSDP 16.90/5.08 (10) QCSDPInstantiationProcessor [EQUIVALENT, 0 ms] 16.90/5.08 (11) QCSDP 16.90/5.08 (12) QCSDPReductionPairProof [EQUIVALENT, 24 ms] 16.90/5.08 (13) QCSDP 16.90/5.08 (14) QCSDependencyGraphProof [EQUIVALENT, 0 ms] 16.90/5.08 (15) AND 16.90/5.08 (16) QCSDP 16.90/5.08 (17) QCSDPReductionPairProof [EQUIVALENT, 177 ms] 16.90/5.08 (18) QCSDP 16.90/5.08 (19) QCSDependencyGraphProof [EQUIVALENT, 0 ms] 16.90/5.08 (20) TRUE 16.90/5.08 (21) QCSDP 16.90/5.08 (22) QCSDPSubtermProof [EQUIVALENT, 0 ms] 16.90/5.08 (23) QCSDP 16.90/5.08 (24) PIsEmptyProof [EQUIVALENT, 0 ms] 16.90/5.08 (25) YES 16.90/5.08 (26) QCSDP 16.90/5.08 (27) QCSDPReductionPairProof [EQUIVALENT, 12 ms] 16.90/5.08 (28) QCSDP 16.90/5.08 (29) PIsEmptyProof [EQUIVALENT, 0 ms] 16.90/5.08 (30) YES 16.90/5.08 (31) QCSDP 16.90/5.08 (32) QCSDPSubtermProof [EQUIVALENT, 0 ms] 16.90/5.08 (33) QCSDP 16.90/5.08 (34) PIsEmptyProof [EQUIVALENT, 0 ms] 16.90/5.08 (35) YES 16.90/5.08 16.90/5.08 16.90/5.08 ---------------------------------------- 16.90/5.08 16.90/5.08 (0) 16.90/5.08 Obligation: 16.90/5.08 Context-sensitive rewrite system: 16.90/5.08 The TRS R consists of the following rules: 16.90/5.08 16.90/5.08 gt(0, Y) -> false 16.90/5.08 gt(s(X), 0) -> true 16.90/5.08 gt(s(X), s(Y)) -> gt(X, Y) 16.90/5.08 p(0) -> 0 16.90/5.08 p(s(X)) -> X 16.90/5.08 if(true, X, Y) -> X 16.90/5.08 if(false, X, Y) -> Y 16.90/5.08 minus(X, Y) -> if(gt(Y, 0), minus(p(X), p(Y)), X) 16.90/5.08 div(0, s(Y)) -> 0 16.90/5.08 div(s(X), s(Y)) -> s(div(minus(X, Y), s(Y))) 16.90/5.08 16.90/5.08 The replacement map contains the following entries: 16.90/5.08 16.90/5.08 gt: {1, 2} 16.90/5.08 0: empty set 16.90/5.08 false: empty set 16.90/5.08 s: {1} 16.90/5.08 true: empty set 16.90/5.08 p: {1} 16.90/5.08 if: {1} 16.90/5.08 minus: {1, 2} 16.90/5.08 div: {1, 2} 16.90/5.08 16.90/5.08 ---------------------------------------- 16.90/5.08 16.90/5.08 (1) CSRInnermostProof (EQUIVALENT) 16.90/5.08 The CSR is orthogonal. By [CS_Inn] we can switch to innermost. 16.90/5.09 ---------------------------------------- 16.90/5.09 16.90/5.09 (2) 16.90/5.09 Obligation: 16.90/5.09 Context-sensitive rewrite system: 16.90/5.09 The TRS R consists of the following rules: 16.90/5.09 16.90/5.09 gt(0, Y) -> false 16.90/5.09 gt(s(X), 0) -> true 16.90/5.09 gt(s(X), s(Y)) -> gt(X, Y) 16.90/5.09 p(0) -> 0 16.90/5.09 p(s(X)) -> X 16.90/5.09 if(true, X, Y) -> X 16.90/5.09 if(false, X, Y) -> Y 16.90/5.09 minus(X, Y) -> if(gt(Y, 0), minus(p(X), p(Y)), X) 16.90/5.09 div(0, s(Y)) -> 0 16.90/5.09 div(s(X), s(Y)) -> s(div(minus(X, Y), s(Y))) 16.90/5.09 16.90/5.09 The replacement map contains the following entries: 16.90/5.09 16.90/5.09 gt: {1, 2} popout

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all output return to TRS_Contextsensitive 2019-03-21 05.07