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TRS Inner 89993 pair #381733859
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_innermost_04
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
2.86476612091 seconds
cpu usage
7.977177217
max memory
5.57867008E8
stage attributes
key
value
output-size
59931
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) QTRSRRRProof [EQUIVALENT, 132 ms] (2) QTRS (3) QTRSRRRProof [EQUIVALENT, 44 ms] (4) QTRS (5) QTRSRRRProof [EQUIVALENT, 30 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) QReductionProof [EQUIVALENT, 0 ms] (15) QDP (16) QDPSizeChangeProof [EQUIVALENT, 0 ms] (17) YES (18) QDP (19) UsableRulesProof [EQUIVALENT, 0 ms] (20) QDP (21) QReductionProof [EQUIVALENT, 0 ms] (22) QDP (23) QDPSizeChangeProof [EQUIVALENT, 0 ms] (24) YES (25) QDP (26) UsableRulesProof [EQUIVALENT, 0 ms] (27) QDP (28) QReductionProof [EQUIVALENT, 0 ms] (29) QDP (30) QDPSizeChangeProof [EQUIVALENT, 0 ms] (31) YES (32) QDP (33) UsableRulesProof [EQUIVALENT, 0 ms] (34) QDP (35) QReductionProof [EQUIVALENT, 0 ms] (36) QDP (37) QDPSizeChangeProof [EQUIVALENT, 0 ms] (38) YES (39) QDP (40) UsableRulesProof [EQUIVALENT, 0 ms] (41) QDP (42) QReductionProof [EQUIVALENT, 0 ms] (43) QDP (44) QDPSizeChangeProof [EQUIVALENT, 0 ms] (45) YES (46) QDP (47) UsableRulesProof [EQUIVALENT, 0 ms] (48) QDP (49) QReductionProof [EQUIVALENT, 0 ms] (50) QDP (51) QDPSizeChangeProof [EQUIVALENT, 0 ms] (52) YES (53) QDP (54) UsableRulesProof [EQUIVALENT, 0 ms] (55) QDP (56) MRRProof [EQUIVALENT, 0 ms] (57) QDP (58) MRRProof [EQUIVALENT, 1 ms] (59) QDP (60) MRRProof [EQUIVALENT, 20 ms] (61) QDP (62) QDPQMonotonicMRRProof [EQUIVALENT, 49 ms] (63) QDP (64) QDPOrderProof [EQUIVALENT, 0 ms] (65) QDP (66) UsableRulesProof [EQUIVALENT, 0 ms] (67) QDP (68) QReductionProof [EQUIVALENT, 0 ms] (69) QDP (70) QDPSizeChangeProof [EQUIVALENT, 0 ms] (71) YES ---------------------------------------- (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)
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