details

property	value
status	complete
benchmark	2.05.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n138.star.cs.uiowa.edu
space	SK90

run statistics

property	value
solver	AProVE23
configuration	standard
runtime (wallclock)	2.48776006699 seconds
cpu usage	7.122429307
max memory	3.55749888E8

stage attributes

key	value
output-size	5038
starexec-result	"NO"

output

/export/starexec/sandbox2/solver/bin/starexec_run_standard /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- NO proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml # AProVE Commit ID: 363435ff5b19173ec8a83b45cfdec073678dabcc jan-christoph 20230815 unpublished Termination w.r.t. Q of the given QTRS could be disproven: (0) QTRS (1) DependencyPairsProof [EQUIVALENT, 0 ms] (2) QDP (3) QDPOrderProof [EQUIVALENT, 82 ms] (4) QDP (5) DependencyGraphProof [EQUIVALENT, 0 ms] (6) QDP (7) NonTerminationLoopProof [COMPLETE, 0 ms] (8) NO ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: +(x, +(y, z)) -> +(+(x, y), z) *(x, +(y, z)) -> +(*(x, y), *(x, z)) +(+(x, *(y, z)), *(y, u)) -> +(x, *(y, +(z, u))) Q is empty. ---------------------------------------- (1) DependencyPairsProof (EQUIVALENT) Using Dependency Pairs [AG00,LPAR04] we result in the following initial DP problem. ---------------------------------------- (2) Obligation: Q DP problem: The TRS P consists of the following rules: +^1(x, +(y, z)) -> +^1(+(x, y), z) +^1(x, +(y, z)) -> +^1(x, y) *^1(x, +(y, z)) -> +^1(*(x, y), *(x, z)) *^1(x, +(y, z)) -> *^1(x, y) *^1(x, +(y, z)) -> *^1(x, z) +^1(+(x, *(y, z)), *(y, u)) -> +^1(x, *(y, +(z, u))) +^1(+(x, *(y, z)), *(y, u)) -> *^1(y, +(z, u)) +^1(+(x, *(y, z)), *(y, u)) -> +^1(z, u) The TRS R consists of the following rules: +(x, +(y, z)) -> +(+(x, y), z) *(x, +(y, z)) -> +(*(x, y), *(x, z)) +(+(x, *(y, z)), *(y, u)) -> +(x, *(y, +(z, u))) Q is empty. We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (3) QDPOrderProof (EQUIVALENT) We use the reduction pair processor [LPAR04,JAR06]. The following pairs can be oriented strictly and are deleted. +^1(x, +(y, z)) -> +^1(x, y) *^1(x, +(y, z)) -> *^1(x, y) *^1(x, +(y, z)) -> *^1(x, z) +^1(+(x, *(y, z)), *(y, u)) -> *^1(y, +(z, u)) +^1(+(x, *(y, z)), *(y, u)) -> +^1(z, u) The remaining pairs can at least be oriented weakly. Used ordering: Polynomial Order [NEGPOLO,POLO] with Interpretation: POL( *^1_2(x_1, x_2) ) = 2x_2 POL( +^1_2(x_1, x_2) ) = x_1 + x_2 POL( +_2(x_1, x_2) ) = x_1 + x_2 + 1 POL( *_2(x_1, x_2) ) = 2x_2 + 1 The following usable rules [FROCOS05] with respect to the argument filtering of the ordering [JAR06] were oriented: +(+(x, *(y, z)), *(y, u)) -> +(x, *(y, +(z, u))) +(x, +(y, z)) -> +(+(x, y), z) *(x, +(y, z)) -> +(*(x, y), *(x, z)) ---------------------------------------- (4) Obligation: Q DP problem: The TRS P consists of the following rules: popout

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

job log

popout

actions

all output return to TRS Standard