details

property	value
status	complete
benchmark	innermost4.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n007.star.cs.uiowa.edu
space	Mixed_innermost

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	1.84563 seconds
cpu usage	3.81528
user time	3.65872
system time	0.156562
max virtual memory	1.8344152E7
max residence set size	246152.0

stage attributes

key	value
starexec-result	YES

output

3.67/1.81 YES 3.67/1.82 proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml 3.67/1.82 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 3.67/1.82 3.67/1.82 3.67/1.82 Termination w.r.t. Q of the given QTRS could be proven: 3.67/1.82 3.67/1.82 (0) QTRS 3.67/1.82 (1) DependencyPairsProof [EQUIVALENT, 13 ms] 3.67/1.82 (2) QDP 3.67/1.82 (3) DependencyGraphProof [EQUIVALENT, 0 ms] 3.67/1.82 (4) QDP 3.67/1.82 (5) TransformationProof [EQUIVALENT, 0 ms] 3.67/1.82 (6) QDP 3.67/1.82 (7) DependencyGraphProof [EQUIVALENT, 0 ms] 3.67/1.82 (8) QDP 3.67/1.82 (9) UsableRulesProof [EQUIVALENT, 0 ms] 3.67/1.82 (10) QDP 3.67/1.82 (11) QReductionProof [EQUIVALENT, 0 ms] 3.67/1.82 (12) QDP 3.67/1.82 (13) TransformationProof [EQUIVALENT, 0 ms] 3.67/1.82 (14) QDP 3.67/1.82 (15) TransformationProof [EQUIVALENT, 0 ms] 3.67/1.82 (16) QDP 3.67/1.82 (17) DependencyGraphProof [EQUIVALENT, 0 ms] 3.67/1.82 (18) TRUE 3.67/1.82 3.67/1.82 3.67/1.82 ---------------------------------------- 3.67/1.82 3.67/1.82 (0) 3.67/1.82 Obligation: 3.67/1.82 Q restricted rewrite system: 3.67/1.82 The TRS R consists of the following rules: 3.67/1.82 3.67/1.82 f(a(x), y, s(z), u) -> f(a(b), y, z, g(x, y, s(z), u)) 3.67/1.82 g(x, y, z, u) -> h(x, y, z, u) 3.67/1.82 h(b, y, z, u) -> f(y, y, z, u) 3.67/1.82 a(b) -> c 3.67/1.82 3.67/1.82 The set Q consists of the following terms: 3.67/1.82 3.67/1.82 f(a(x0), x1, s(x2), x3) 3.67/1.82 g(x0, x1, x2, x3) 3.67/1.82 h(b, x0, x1, x2) 3.67/1.82 a(b) 3.67/1.82 3.67/1.82 3.67/1.82 ---------------------------------------- 3.67/1.82 3.67/1.82 (1) DependencyPairsProof (EQUIVALENT) 3.67/1.82 Using Dependency Pairs [AG00,LPAR04] we result in the following initial DP problem. 3.67/1.82 ---------------------------------------- 3.67/1.82 3.67/1.82 (2) 3.67/1.82 Obligation: 3.67/1.82 Q DP problem: 3.67/1.82 The TRS P consists of the following rules: 3.67/1.82 3.67/1.82 F(a(x), y, s(z), u) -> F(a(b), y, z, g(x, y, s(z), u)) 3.67/1.82 F(a(x), y, s(z), u) -> A(b) 3.67/1.82 F(a(x), y, s(z), u) -> G(x, y, s(z), u) 3.67/1.82 G(x, y, z, u) -> H(x, y, z, u) 3.67/1.82 H(b, y, z, u) -> F(y, y, z, u) 3.67/1.82 3.67/1.82 The TRS R consists of the following rules: 3.67/1.82 3.67/1.82 f(a(x), y, s(z), u) -> f(a(b), y, z, g(x, y, s(z), u)) 3.67/1.82 g(x, y, z, u) -> h(x, y, z, u) 3.67/1.82 h(b, y, z, u) -> f(y, y, z, u) 3.67/1.82 a(b) -> c 3.67/1.82 3.67/1.82 The set Q consists of the following terms: 3.67/1.82 3.67/1.82 f(a(x0), x1, s(x2), x3) 3.67/1.82 g(x0, x1, x2, x3) 3.67/1.82 h(b, x0, x1, x2) 3.67/1.82 a(b) 3.67/1.82 3.67/1.82 We have to consider all minimal (P,Q,R)-chains. 3.67/1.82 ---------------------------------------- 3.67/1.82 3.67/1.82 (3) DependencyGraphProof (EQUIVALENT) 3.67/1.82 The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 1 SCC with 1 less node. 3.67/1.82 ---------------------------------------- 3.67/1.82 3.67/1.82 (4) 3.67/1.82 Obligation: 3.67/1.82 Q DP problem: 3.67/1.82 The TRS P consists of the following rules: 3.67/1.82 3.67/1.82 F(a(x), y, s(z), u) -> G(x, y, s(z), u) 3.67/1.82 G(x, y, z, u) -> H(x, y, z, u) 3.67/1.82 H(b, y, z, u) -> F(y, y, z, u) 3.67/1.82 F(a(x), y, s(z), u) -> F(a(b), y, z, g(x, y, s(z), u)) 3.67/1.82 3.67/1.82 The TRS R consists of the following rules: 3.67/1.82 3.67/1.82 f(a(x), y, s(z), u) -> f(a(b), y, z, g(x, y, s(z), u)) 3.67/1.82 g(x, y, z, u) -> h(x, y, z, u) popout

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

job log

popout

actions

all output return to TRS_Innermost 2019-03-28 22.12