SRS Standard pair #487088308

details

property	value
status	complete
benchmark	39849.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	ICFP_2010

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	14.0661 seconds
cpu usage	51.4645
user time	49.6093
system time	1.85519
max virtual memory	2.1015084E7
max residence set size	4471060.0

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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty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 w.r.t. Q of the given QTRS could be proven:

(0) QTRS
(1) DependencyPairsProof [EQUIVALENT, 319 ms]
(2) QDP
(3) DependencyGraphProof [EQUIVALENT, 0 ms]
(4) QDP
(5) QDPOrderProof [EQUIVALENT, 334 ms]
(6) QDP
(7) DependencyGraphProof [EQUIVALENT, 0 ms]
(8) QDP
(9) QDPOrderProof [EQUIVALENT, 235 ms]
(10) QDP
(11) DependencyGraphProof [EQUIVALENT, 0 ms]
(12) AND
    (13) QDP
        (14) QDPOrderProof [EQUIVALENT, 82 ms]
        (15) QDP
        (16) QDPOrderProof [EQUIVALENT, 74 ms]
        (17) QDP
        (18) QDPOrderProof [EQUIVALENT, 52 ms]
        (19) QDP
        (20) QDPOrderProof [EQUIVALENT, 56 ms]
        (21) QDP
        (22) QDPOrderProof [EQUIVALENT, 52 ms]
        (23) QDP
        (24) PisEmptyProof [EQUIVALENT, 0 ms]
        (25) YES
    (26) QDP
        (27) QDPOrderProof [EQUIVALENT, 78 ms]
        (28) QDP
        (29) PisEmptyProof [EQUIVALENT, 0 ms]
        (30) YES
    (31) QDP
        (32) QDPOrderProof [EQUIVALENT, 70 ms]
        (33) QDP
        (34) PisEmptyProof [EQUIVALENT, 0 ms]
        (35) YES
    (36) QDP
        (37) QDPOrderProof [EQUIVALENT, 59 ms]
        (38) QDP
        (39) PisEmptyProof [EQUIVALENT, 0 ms]
        (40) YES


----------------------------------------

(0)
Obligation:
Q restricted rewrite system:
The TRS R consists of the following rules:

   0(1(2(x1))) -> 0(2(1(1(x1))))
   0(3(2(x1))) -> 0(2(1(3(x1))))
   2(4(1(x1))) -> 4(2(1(1(x1))))
   0(0(3(2(x1)))) -> 0(0(2(1(3(x1)))))
   0(1(0(3(x1)))) -> 0(1(1(3(0(x1)))))
   0(1(0(5(x1)))) -> 0(0(1(1(5(x1)))))
   0(1(2(2(x1)))) -> 0(2(1(1(2(x1)))))
   0(1(2(3(x1)))) -> 0(2(1(3(1(x1)))))
   0(1(2(5(x1)))) -> 2(1(1(0(5(x1)))))
   0(1(4(1(x1)))) -> 0(4(1(1(1(x1)))))
   0(1(4(2(x1)))) -> 0(0(2(1(4(x1)))))
   0(1(4(2(x1)))) -> 0(4(0(2(1(x1)))))
   0(1(4(3(x1)))) -> 4(0(1(1(3(x1)))))
   0(1(4(5(x1)))) -> 0(1(1(5(4(x1)))))
   0(1(5(2(x1)))) -> 0(2(5(1(1(x1)))))
   0(2(0(3(x1)))) -> 0(0(2(3(1(x1)))))
   0(3(0(1(x1)))) -> 0(0(1(3(1(x1)))))
   0(3(0(2(x1)))) -> 0(0(2(3(1(x1)))))
   0(3(0(3(x1)))) -> 0(0(3(1(3(x1)))))
   0(3(2(0(x1)))) -> 0(2(1(3(0(x1)))))
   0(3(5(1(x1)))) -> 0(5(3(1(1(x1)))))
   0(4(0(1(x1)))) -> 0(0(4(1(1(x1)))))
   0(5(2(0(x1)))) -> 2(1(5(0(0(x1)))))
   2(1(2(3(x1)))) -> 2(1(1(3(2(x1)))))
   2(1(4(1(x1)))) -> 4(2(1(1(1(x1)))))
   2(2(0(3(x1)))) -> 2(0(2(1(3(x1)))))
   2(2(4(1(x1)))) -> 2(4(2(1(1(x1)))))
   2(3(1(4(x1)))) -> 2(1(1(3(4(x1)))))
   2(4(1(4(x1)))) -> 4(4(2(1(1(x1)))))
   2(4(3(1(x1)))) -> 4(2(3(1(1(x1)))))
   2(5(0(1(x1)))) -> 0(2(5(1(1(x1)))))
   2(5(0(3(x1)))) -> 5(0(2(1(3(x1)))))
   3(0(1(0(x1)))) -> 3(1(0(0(0(x1)))))
   3(0(1(4(x1)))) -> 3(1(1(0(4(x1)))))
   3(0(3(0(x1)))) -> 3(1(3(0(0(x1)))))
   3(1(0(3(x1)))) -> 3(1(1(3(0(x1)))))
   3(1(2(1(x1)))) -> 1(3(2(1(1(x1)))))
   3(1(2(1(x1)))) -> 3(2(1(1(1(x1)))))
   3(2(0(1(x1)))) -> 1(3(0(2(1(x1)))))
   3(2(0(1(x1)))) -> 3(1(0(2(1(x1)))))
   3(4(1(2(x1)))) -> 3(2(1(1(4(x1)))))
   3(5(1(4(x1)))) -> 3(1(1(5(4(x1)))))
   4(1(0(1(x1)))) -> 4(0(1(1(1(x1)))))

popout

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

job log

popout

actions all output return to SRS Standard