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SRS Standard pair #487520315
details
property
value
status
complete
benchmark
dup01.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
Trafo_06
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
8.64896297455 seconds
cpu usage
30.99815553
max memory
3.473178624E9
stage attributes
key
value
output-size
21850
starexec-result
YES
output
/export/starexec/sandbox/solver/bin/starexec_run_standard /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) QTRSRRRProof [EQUIVALENT, 90 ms] (2) QTRS (3) DependencyPairsProof [EQUIVALENT, 7 ms] (4) QDP (5) DependencyGraphProof [EQUIVALENT, 3 ms] (6) AND (7) QDP (8) UsableRulesProof [EQUIVALENT, 0 ms] (9) QDP (10) MNOCProof [EQUIVALENT, 2 ms] (11) QDP (12) MRRProof [EQUIVALENT, 12 ms] (13) QDP (14) MRRProof [EQUIVALENT, 1 ms] (15) QDP (16) PisEmptyProof [EQUIVALENT, 0 ms] (17) YES (18) QDP (19) UsableRulesProof [EQUIVALENT, 0 ms] (20) QDP (21) MNOCProof [EQUIVALENT, 4 ms] (22) QDP (23) MRRProof [EQUIVALENT, 13 ms] (24) QDP (25) PisEmptyProof [EQUIVALENT, 0 ms] (26) YES (27) QDP (28) UsableRulesProof [EQUIVALENT, 0 ms] (29) QDP (30) QDPOrderProof [EQUIVALENT, 19 ms] (31) QDP (32) QDPOrderProof [EQUIVALENT, 0 ms] (33) QDP (34) QDPOrderProof [EQUIVALENT, 0 ms] (35) QDP (36) QDPOrderProof [EQUIVALENT, 4 ms] (37) QDP (38) PisEmptyProof [EQUIVALENT, 0 ms] (39) YES ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: a12(a12(a12(a12(x1)))) -> x1 a13(a13(a13(a13(x1)))) -> x1 a14(a14(a14(a14(x1)))) -> x1 a15(a15(a15(a15(x1)))) -> x1 a16(a16(a16(a16(x1)))) -> x1 a23(a23(a23(a23(x1)))) -> x1 a24(a24(a24(a24(x1)))) -> x1 a25(a25(a25(a25(x1)))) -> x1 a26(a26(a26(a26(x1)))) -> x1 a34(a34(a34(a34(x1)))) -> x1 a35(a35(a35(a35(x1)))) -> x1 a36(a36(a36(a36(x1)))) -> x1 a45(a45(a45(a45(x1)))) -> x1 a46(a46(a46(a46(x1)))) -> x1 a56(a56(a56(a56(x1)))) -> x1 a13(a13(x1)) -> a12(a12(a23(a23(a12(a12(x1)))))) a14(a14(x1)) -> a12(a12(a23(a23(a34(a34(a23(a23(a12(a12(x1)))))))))) a15(a15(x1)) -> a12(a12(a23(a23(a34(a34(a45(a45(a34(a34(a23(a23(a12(a12(x1)))))))))))))) a16(a16(x1)) -> a12(a12(a23(a23(a34(a34(a45(a45(a56(a56(a45(a45(a34(a34(a23(a23(a12(a12(x1)))))))))))))))))) a24(a24(x1)) -> a23(a23(a34(a34(a23(a23(x1)))))) a25(a25(x1)) -> a23(a23(a34(a34(a45(a45(a34(a34(a23(a23(x1)))))))))) a26(a26(x1)) -> a23(a23(a34(a34(a45(a45(a56(a56(a45(a45(a34(a34(a23(a23(x1)))))))))))))) a35(a35(x1)) -> a34(a34(a45(a45(a34(a34(x1)))))) a36(a36(x1)) -> a34(a34(a45(a45(a56(a56(a45(a45(a34(a34(x1)))))))))) a46(a46(x1)) -> a45(a45(a56(a56(a45(a45(x1)))))) a12(a12(a23(a23(a12(a12(a23(a23(a12(a12(a23(a23(x1)))))))))))) -> x1 a23(a23(a34(a34(a23(a23(a34(a34(a23(a23(a34(a34(x1)))))))))))) -> x1 a34(a34(a45(a45(a34(a34(a45(a45(a34(a34(a45(a45(x1)))))))))))) -> x1 a45(a45(a56(a56(a45(a45(a56(a56(a45(a45(a56(a56(x1)))))))))))) -> x1 a12(a12(a34(a34(x1)))) -> a34(a34(a12(a12(x1)))) a12(a12(a45(a45(x1)))) -> a45(a45(a12(a12(x1)))) a12(a12(a56(a56(x1)))) -> a56(a56(a12(a12(x1)))) a23(a23(a45(a45(x1)))) -> a45(a45(a23(a23(x1)))) a23(a23(a56(a56(x1)))) -> a56(a56(a23(a23(x1)))) a34(a34(a56(a56(x1)))) -> a56(a56(a34(a34(x1)))) Q is empty.
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