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TRS Stand 20472 pair #381710140
details
property
value
status
complete
benchmark
3.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n045.star.cs.uiowa.edu
space
Secret_07_TRS
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
17.8355197906 seconds
cpu usage
48.511180832
max memory
5.37663488E9
stage attributes
key
value
output-size
29164
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) DependencyPairsProof [EQUIVALENT, 31 ms] (2) QDP (3) DependencyGraphProof [EQUIVALENT, 0 ms] (4) AND (5) QDP (6) UsableRulesProof [EQUIVALENT, 0 ms] (7) QDP (8) TransformationProof [EQUIVALENT, 0 ms] (9) QDP (10) DependencyGraphProof [EQUIVALENT, 0 ms] (11) QDP (12) TransformationProof [EQUIVALENT, 0 ms] (13) QDP (14) DependencyGraphProof [EQUIVALENT, 0 ms] (15) QDP (16) TransformationProof [EQUIVALENT, 0 ms] (17) QDP (18) DependencyGraphProof [EQUIVALENT, 0 ms] (19) QDP (20) TransformationProof [EQUIVALENT, 0 ms] (21) QDP (22) DependencyGraphProof [EQUIVALENT, 0 ms] (23) QDP (24) UsableRulesProof [EQUIVALENT, 0 ms] (25) QDP (26) TransformationProof [EQUIVALENT, 0 ms] (27) QDP (28) DependencyGraphProof [EQUIVALENT, 0 ms] (29) TRUE (30) QDP (31) UsableRulesProof [EQUIVALENT, 0 ms] (32) QDP (33) QDPOrderProof [EQUIVALENT, 64 ms] (34) QDP (35) QDPOrderProof [EQUIVALENT, 0 ms] (36) QDP (37) TransformationProof [EQUIVALENT, 0 ms] (38) QDP (39) QDPOrderProof [EQUIVALENT, 76 ms] (40) QDP (41) QDPOrderProof [EQUIVALENT, 26 ms] (42) QDP (43) QDPOrderProof [EQUIVALENT, 797 ms] (44) QDP (45) PisEmptyProof [EQUIVALENT, 0 ms] (46) YES (47) QDP (48) UsableRulesProof [EQUIVALENT, 0 ms] (49) QDP (50) QDPOrderProof [EQUIVALENT, 7 ms] (51) QDP (52) UsableRulesProof [EQUIVALENT, 0 ms] (53) QDP (54) MRRProof [EQUIVALENT, 0 ms] (55) QDP (56) PisEmptyProof [EQUIVALENT, 0 ms] (57) YES ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: i(x, x) -> i(a, b) g(x, x) -> g(a, b) h(s(f(x))) -> h(f(x)) f(s(x)) -> s(s(f(h(s(x))))) f(g(s(x), y)) -> f(g(x, s(y))) h(g(x, s(y))) -> h(g(s(x), y)) h(i(x, y)) -> i(i(c, h(h(y))), x) g(a, g(x, g(b, g(a, g(x, y))))) -> g(a, g(a, g(a, g(x, g(b, g(b, y)))))) Q is empty. ---------------------------------------- (1) DependencyPairsProof (EQUIVALENT) Using Dependency Pairs [AG00,LPAR04] we result in the following initial DP problem. ---------------------------------------- (2) Obligation: Q DP problem:
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