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SRS Stand 10685 pair #381724077
details
property
value
status
complete
benchmark
214261.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
ICFP_2010
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
13.0260660648 seconds
cpu usage
47.724693183
max memory
4.218544128E9
stage attributes
key
value
output-size
42772
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) QTRS Reverse [EQUIVALENT, 0 ms] (2) QTRS (3) DependencyPairsProof [EQUIVALENT, 401 ms] (4) QDP (5) DependencyGraphProof [EQUIVALENT, 6 ms] (6) QDP (7) QDPOrderProof [EQUIVALENT, 313 ms] (8) QDP (9) DependencyGraphProof [EQUIVALENT, 0 ms] (10) AND (11) QDP (12) QDPOrderProof [EQUIVALENT, 80 ms] (13) QDP (14) QDPOrderProof [EQUIVALENT, 52 ms] (15) QDP (16) DependencyGraphProof [EQUIVALENT, 0 ms] (17) TRUE (18) QDP (19) QDPOrderProof [EQUIVALENT, 27 ms] (20) QDP (21) QDPOrderProof [EQUIVALENT, 44 ms] (22) QDP (23) PisEmptyProof [EQUIVALENT, 0 ms] (24) YES ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: 0(0(1(x1))) -> 2(3(1(4(0(0(x1)))))) 1(0(0(x1))) -> 0(2(3(1(0(x1))))) 1(0(1(x1))) -> 0(2(1(2(3(1(x1)))))) 1(0(1(x1))) -> 1(0(5(2(3(1(x1)))))) 1(0(1(x1))) -> 2(1(0(2(3(1(x1)))))) 4(0(0(x1))) -> 0(2(3(4(0(x1))))) 4(0(1(x1))) -> 0(2(2(1(4(x1))))) 4(0(1(x1))) -> 0(2(3(4(1(x1))))) 5(1(0(x1))) -> 5(2(3(1(0(x1))))) 5(1(0(x1))) -> 5(2(3(3(1(0(x1)))))) 5(1(1(x1))) -> 2(3(1(4(1(5(x1)))))) 5(1(1(x1))) -> 5(3(2(3(1(1(x1)))))) 0(0(3(0(x1)))) -> 4(0(0(2(3(0(x1)))))) 0(3(0(1(x1)))) -> 0(0(2(2(1(3(x1)))))) 1(0(3(1(x1)))) -> 0(1(2(3(1(3(x1)))))) 1(0(3(1(x1)))) -> 0(4(1(2(3(1(x1)))))) 1(2(5(1(x1)))) -> 5(4(2(3(1(1(x1)))))) 4(0(1(1(x1)))) -> 0(2(4(1(1(x1))))) 4(0(1(5(x1)))) -> 5(0(2(3(1(4(x1)))))) 4(0(1(5(x1)))) -> 5(4(1(3(4(0(x1)))))) 4(0(3(0(x1)))) -> 0(2(3(0(4(5(x1)))))) 4(0(3(5(x1)))) -> 0(2(3(4(1(5(x1)))))) 4(2(5(0(x1)))) -> 4(5(2(3(0(x1))))) 4(2(5(0(x1)))) -> 4(0(2(3(5(4(x1)))))) 4(3(0(0(x1)))) -> 0(2(3(4(3(0(x1)))))) 4(3(0(1(x1)))) -> 1(4(0(2(3(x1))))) 4(3(0(1(x1)))) -> 3(0(2(2(4(1(x1)))))) 5(1(1(1(x1)))) -> 2(2(1(1(5(1(x1)))))) 0(0(1(2(5(x1))))) -> 2(3(1(5(0(0(x1)))))) 0(1(3(0(0(x1))))) -> 2(3(1(0(0(0(x1)))))) 0(2(5(3(1(x1))))) -> 2(0(5(4(1(3(x1)))))) 0(2(5(5(1(x1))))) -> 0(2(1(5(4(5(x1)))))) 0(3(0(5(1(x1))))) -> 2(1(5(3(0(0(x1)))))) 0(4(3(5(1(x1))))) -> 2(4(3(1(0(5(x1)))))) 0(5(1(1(5(x1))))) -> 0(1(2(1(5(5(x1)))))) 0(5(1(3(0(x1))))) -> 2(1(3(5(0(0(x1)))))) 1(0(4(1(5(x1))))) -> 4(1(2(1(5(0(x1)))))) 1(2(4(5(1(x1))))) -> 1(4(1(5(2(3(x1)))))) 1(2(5(3(0(x1))))) -> 1(4(2(3(5(0(x1)))))) 1(3(0(4(0(x1))))) -> 0(2(3(1(4(0(x1)))))) 4(0(3(1(5(x1))))) -> 4(4(3(5(0(1(x1)))))) 4(2(5(0(0(x1))))) -> 0(5(2(0(4(4(x1)))))) 4(2(5(0(0(x1))))) -> 5(2(3(4(0(0(x1)))))) 4(2(5(3(0(x1))))) -> 4(0(2(5(2(3(x1)))))) 4(2(5(3(0(x1))))) -> 5(2(4(3(1(0(x1)))))) 4(2(5(3(1(x1))))) -> 2(3(1(5(4(2(x1)))))) 4(3(0(0(1(x1))))) -> 2(4(3(1(0(0(x1)))))) 4(3(2(5(0(x1))))) -> 0(4(2(3(4(5(x1)))))) 4(5(1(3(1(x1))))) -> 4(1(3(5(4(1(x1)))))) 5(1(4(3(1(x1))))) -> 5(3(2(4(1(1(x1)))))) Q is empty.
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