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SRS Standard pair #487515203
details
property
value
status
complete
benchmark
212026.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n173.star.cs.uiowa.edu
space
ICFP_2010
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
26.9757599831 seconds
cpu usage
104.187249547
max memory
5.98511616E9
stage attributes
key
value
output-size
63368
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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) DependencyPairsProof [EQUIVALENT, 183 ms] (2) QDP (3) DependencyGraphProof [EQUIVALENT, 0 ms] (4) QDP (5) QDPOrderProof [EQUIVALENT, 340 ms] (6) QDP (7) DependencyGraphProof [EQUIVALENT, 0 ms] (8) QDP (9) QDPOrderProof [EQUIVALENT, 147 ms] (10) QDP (11) DependencyGraphProof [EQUIVALENT, 0 ms] (12) QDP (13) QDPOrderProof [EQUIVALENT, 86 ms] (14) QDP (15) DependencyGraphProof [EQUIVALENT, 0 ms] (16) AND (17) QDP (18) QDPOrderProof [EQUIVALENT, 61 ms] (19) QDP (20) QDPOrderProof [EQUIVALENT, 3445 ms] (21) QDP (22) PisEmptyProof [EQUIVALENT, 0 ms] (23) YES (24) QDP (25) QDPOrderProof [EQUIVALENT, 60 ms] (26) QDP (27) QDPOrderProof [EQUIVALENT, 50 ms] (28) QDP (29) QDPOrderProof [EQUIVALENT, 56 ms] (30) QDP (31) PisEmptyProof [EQUIVALENT, 0 ms] (32) YES ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: 0(0(0(x1))) -> 0(0(1(0(1(x1))))) 0(2(0(x1))) -> 0(0(2(1(1(x1))))) 0(3(2(x1))) -> 2(1(3(0(x1)))) 0(4(2(x1))) -> 4(1(1(1(0(2(x1)))))) 3(0(4(x1))) -> 0(1(3(4(1(x1))))) 3(2(0(x1))) -> 0(2(1(3(x1)))) 3(2(0(x1))) -> 3(0(2(1(x1)))) 3(2(0(x1))) -> 0(1(2(1(3(x1))))) 3(2(0(x1))) -> 3(0(1(2(1(4(x1)))))) 3(2(4(x1))) -> 1(2(1(3(3(4(x1)))))) 3(2(4(x1))) -> 4(1(2(1(1(3(x1)))))) 3(2(5(x1))) -> 1(3(5(2(x1)))) 3(2(5(x1))) -> 3(1(4(5(2(x1))))) 3(2(5(x1))) -> 1(1(3(3(5(2(x1)))))) 3(2(5(x1))) -> 1(3(4(5(4(2(x1)))))) 3(5(0(x1))) -> 3(1(0(5(1(1(x1)))))) 5(0(2(x1))) -> 1(1(0(2(5(x1))))) 5(0(4(x1))) -> 0(5(4(1(1(x1))))) 5(2(4(x1))) -> 5(2(1(1(3(4(x1)))))) 5(3(2(x1))) -> 1(1(3(5(1(2(x1)))))) 5(5(0(x1))) -> 5(1(1(5(0(x1))))) 0(0(2(4(x1)))) -> 0(4(0(2(1(1(x1)))))) 0(3(1(2(x1)))) -> 1(1(3(0(2(x1))))) 0(3(2(4(x1)))) -> 2(1(3(0(4(4(x1)))))) 0(4(3(2(x1)))) -> 2(3(4(0(1(x1))))) 3(0(2(4(x1)))) -> 3(0(4(2(1(1(x1)))))) 3(0(5(4(x1)))) -> 3(4(0(5(1(3(x1)))))) 3(1(0(0(x1)))) -> 0(1(1(3(0(1(x1)))))) 3(2(4(0(x1)))) -> 3(1(0(4(2(x1))))) 3(2(4(5(x1)))) -> 3(1(4(2(1(5(x1)))))) 3(2(5(4(x1)))) -> 3(4(3(5(2(x1))))) 3(5(3(2(x1)))) -> 3(3(0(2(5(x1))))) 4(0(4(2(x1)))) -> 4(4(2(1(3(0(x1)))))) 4(3(2(0(x1)))) -> 0(2(1(3(4(x1))))) 5(4(1(0(x1)))) -> 5(1(1(4(0(1(x1)))))) 5(5(0(0(x1)))) -> 1(1(0(5(5(0(x1)))))) 5(5(2(2(x1)))) -> 5(5(1(1(2(2(x1)))))) 0(0(1(2(4(x1))))) -> 0(0(2(1(1(4(x1)))))) 0(5(3(1(2(x1))))) -> 5(2(1(3(1(0(x1)))))) 0(5(5(1(0(x1))))) -> 5(0(0(5(1(1(x1)))))) 3(0(1(4(5(x1))))) -> 3(4(0(5(1(1(x1)))))) 3(0(3(1(2(x1))))) -> 0(2(1(1(3(3(x1)))))) 3(2(2(0(4(x1))))) -> 3(2(2(0(1(4(x1)))))) 3(5(1(4(0(x1))))) -> 1(3(3(4(5(0(x1)))))) 3(5(3(0(4(x1))))) -> 3(0(1(5(3(4(x1))))))
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