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TRS Standard pair #487073848
details
property
value
status
complete
benchmark
3.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n192.star.cs.uiowa.edu
space
MNZ_10
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
20.5576 seconds
cpu usage
72.3032
user time
70.2097
system time
2.09354
max virtual memory
3.7654408E7
max residence set size
4055408.0
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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) DependencyPairsProof [EQUIVALENT, 0 ms] (2) QDP (3) DependencyGraphProof [EQUIVALENT, 0 ms] (4) QDP (5) TransformationProof [EQUIVALENT, 0 ms] (6) QDP (7) DependencyGraphProof [EQUIVALENT, 0 ms] (8) AND (9) QDP (10) TransformationProof [EQUIVALENT, 0 ms] (11) QDP (12) DependencyGraphProof [EQUIVALENT, 0 ms] (13) QDP (14) TransformationProof [EQUIVALENT, 0 ms] (15) QDP (16) DependencyGraphProof [EQUIVALENT, 0 ms] (17) QDP (18) TransformationProof [EQUIVALENT, 0 ms] (19) QDP (20) DependencyGraphProof [EQUIVALENT, 0 ms] (21) QDP (22) TransformationProof [EQUIVALENT, 0 ms] (23) QDP (24) DependencyGraphProof [EQUIVALENT, 0 ms] (25) QDP (26) TransformationProof [EQUIVALENT, 0 ms] (27) QDP (28) DependencyGraphProof [EQUIVALENT, 0 ms] (29) QDP (30) TransformationProof [EQUIVALENT, 0 ms] (31) QDP (32) DependencyGraphProof [EQUIVALENT, 0 ms] (33) QDP (34) TransformationProof [EQUIVALENT, 0 ms] (35) QDP (36) DependencyGraphProof [EQUIVALENT, 0 ms] (37) QDP (38) TransformationProof [EQUIVALENT, 36 ms] (39) QDP (40) DependencyGraphProof [EQUIVALENT, 0 ms] (41) QDP (42) TransformationProof [EQUIVALENT, 0 ms] (43) QDP (44) DependencyGraphProof [EQUIVALENT, 0 ms] (45) QDP (46) QDPOrderProof [EQUIVALENT, 108 ms] (47) QDP (48) QDPOrderProof [EQUIVALENT, 36 ms] (49) QDP (50) QDPOrderProof [EQUIVALENT, 10 ms] (51) QDP (52) QDPOrderProof [EQUIVALENT, 902 ms] (53) QDP (54) QDPOrderProof [EQUIVALENT, 1015 ms] (55) QDP (56) QDPOrderProof [EQUIVALENT, 638 ms] (57) QDP (58) DependencyGraphProof [EQUIVALENT, 0 ms] (59) TRUE (60) QDP (61) QDPOrderProof [EQUIVALENT, 98 ms] (62) QDP (63) DependencyGraphProof [EQUIVALENT, 0 ms] (64) QDP (65) UsableRulesProof [EQUIVALENT, 0 ms] (66) QDP (67) QDPSizeChangeProof [EQUIVALENT, 0 ms] (68) YES ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: s(s(0)) -> f(s(0)) g(x) -> h(x, x) s(x) -> h(x, 0) s(x) -> h(0, x) f(g(x)) -> g(g(f(x))) g(s(x)) -> s(s(g(x))) h(f(x), g(x)) -> f(s(x)) s(s(s(0))) -> k(0) k(0) -> s(0) s(s(s(s(0)))) -> k(s(0)) k(s(0)) -> s(s(0)) s(s(s(s(s(s(s(s(s(0))))))))) -> k(s(s(0))) k(s(s(0))) -> s(s(s(s(s(s(s(0))))))) h(k(x), g(x)) -> k(s(x))
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