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TRS Stand 20472 pair #381716352
details
property
value
status
complete
benchmark
Ex1_Zan97_C.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_04
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
5.10967612267 seconds
cpu usage
17.271534339
max memory
1.900986368E9
stage attributes
key
value
output-size
15390
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) QTRS Reverse [EQUIVALENT, 0 ms] (2) QTRS (3) DependencyPairsProof [EQUIVALENT, 12 ms] (4) QDP (5) DependencyGraphProof [EQUIVALENT, 0 ms] (6) AND (7) QDP (8) UsableRulesProof [EQUIVALENT, 0 ms] (9) QDP (10) QDPSizeChangeProof [EQUIVALENT, 0 ms] (11) YES (12) QDP (13) UsableRulesProof [EQUIVALENT, 0 ms] (14) QDP (15) QDPSizeChangeProof [EQUIVALENT, 0 ms] (16) YES (17) QDP (18) UsableRulesProof [EQUIVALENT, 0 ms] (19) QDP (20) QDPSizeChangeProof [EQUIVALENT, 0 ms] (21) YES (22) QDP (23) UsableRulesProof [EQUIVALENT, 0 ms] (24) QDP (25) QDPOrderProof [EQUIVALENT, 23 ms] (26) QDP (27) DependencyGraphProof [EQUIVALENT, 0 ms] (28) AND (29) QDP (30) MRRProof [EQUIVALENT, 9 ms] (31) QDP (32) PisEmptyProof [EQUIVALENT, 0 ms] (33) YES (34) QDP (35) MRRProof [EQUIVALENT, 7 ms] (36) QDP (37) PisEmptyProof [EQUIVALENT, 0 ms] (38) YES ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: active(g(X)) -> mark(h(X)) active(c) -> mark(d) active(h(d)) -> mark(g(c)) proper(g(X)) -> g(proper(X)) proper(h(X)) -> h(proper(X)) proper(c) -> ok(c) proper(d) -> ok(d) g(ok(X)) -> ok(g(X)) h(ok(X)) -> ok(h(X)) top(mark(X)) -> top(proper(X)) top(ok(X)) -> top(active(X)) Q is empty. ---------------------------------------- (1) QTRS Reverse (EQUIVALENT) We applied the QTRS Reverse Processor [REVERSE]. ---------------------------------------- (2) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: g(active(X)) -> h(mark(X)) c'(active(x)) -> d'(mark(x)) d'(h(active(x))) -> c'(g(mark(x))) g(proper(X)) -> proper(g(X)) h(proper(X)) -> proper(h(X)) c'(proper(x)) -> c'(ok(x)) d'(proper(x)) -> d'(ok(x)) ok(g(X)) -> g(ok(X)) ok(h(X)) -> h(ok(X)) mark(top(X)) -> proper(top(X)) ok(top(X)) -> active(top(X)) Q is empty.
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