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TRS Standard pair #516962625
details
property
value
status
complete
benchmark
ExIntrod_GM04_iGM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n010.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
AProVE21
configuration
standard
runtime (wallclock)
4.01399183273 seconds
cpu usage
12.325667949
max memory
7.70592768E8
stage attributes
key
value
output-size
44404
starexec-result
YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_standard /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml # AProVE Commit ID: c69e44bd14796315568835c1ffa2502984884775 mhark 20210624 unpublished Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) QTRSRRRProof [EQUIVALENT, 139 ms] (2) QTRS (3) QTRSRRRProof [EQUIVALENT, 7 ms] (4) QTRS (5) QTRSRRRProof [EQUIVALENT, 3 ms] (6) QTRS (7) DependencyPairsProof [EQUIVALENT, 0 ms] (8) QDP (9) DependencyGraphProof [EQUIVALENT, 0 ms] (10) AND (11) QDP (12) UsableRulesProof [EQUIVALENT, 0 ms] (13) QDP (14) QDPSizeChangeProof [EQUIVALENT, 0 ms] (15) YES (16) QDP (17) UsableRulesProof [EQUIVALENT, 0 ms] (18) QDP (19) QDPSizeChangeProof [EQUIVALENT, 0 ms] (20) YES (21) QDP (22) UsableRulesProof [EQUIVALENT, 0 ms] (23) QDP (24) QDPSizeChangeProof [EQUIVALENT, 0 ms] (25) YES (26) QDP (27) UsableRulesProof [EQUIVALENT, 0 ms] (28) QDP (29) QDPSizeChangeProof [EQUIVALENT, 0 ms] (30) YES (31) QDP (32) UsableRulesProof [EQUIVALENT, 0 ms] (33) QDP (34) QDPSizeChangeProof [EQUIVALENT, 0 ms] (35) YES (36) QDP (37) UsableRulesProof [EQUIVALENT, 0 ms] (38) QDP (39) QDPSizeChangeProof [EQUIVALENT, 0 ms] (40) YES (41) QDP (42) MRRProof [EQUIVALENT, 78 ms] (43) QDP (44) MRRProof [EQUIVALENT, 54 ms] (45) QDP (46) MRRProof [EQUIVALENT, 40 ms] (47) QDP (48) TransformationProof [EQUIVALENT, 0 ms] (49) QDP (50) DependencyGraphProof [EQUIVALENT, 0 ms] (51) QDP (52) QDPOrderProof [EQUIVALENT, 193 ms] (53) QDP (54) QDPOrderProof [EQUIVALENT, 37 ms] (55) QDP (56) DependencyGraphProof [EQUIVALENT, 0 ms] (57) TRUE ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: active(nats) -> mark(adx(zeros)) active(zeros) -> mark(cons(0, zeros)) active(incr(cons(X, Y))) -> mark(cons(s(X), incr(Y))) active(adx(cons(X, Y))) -> mark(incr(cons(X, adx(Y)))) active(hd(cons(X, Y))) -> mark(X) active(tl(cons(X, Y))) -> mark(Y) mark(nats) -> active(nats) mark(adx(X)) -> active(adx(mark(X))) mark(zeros) -> active(zeros) mark(cons(X1, X2)) -> active(cons(X1, X2)) mark(0) -> active(0) mark(incr(X)) -> active(incr(mark(X))) mark(s(X)) -> active(s(X)) mark(hd(X)) -> active(hd(mark(X))) mark(tl(X)) -> active(tl(mark(X))) adx(mark(X)) -> adx(X) adx(active(X)) -> adx(X) cons(mark(X1), X2) -> cons(X1, X2) cons(X1, mark(X2)) -> cons(X1, X2) cons(active(X1), X2) -> cons(X1, X2)
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