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TRS Inner 89993 pair #381733556
details
property
value
status
complete
benchmark
ExProp7_Luc06_iGM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n041.star.cs.uiowa.edu
space
Transformed_CSR_innermost_04
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
3.07098913193 seconds
cpu usage
8.281005529
max memory
5.7294848E8
stage attributes
key
value
output-size
45793
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) DependencyPairsProof [EQUIVALENT, 0 ms] (2) QDP (3) DependencyGraphProof [EQUIVALENT, 0 ms] (4) AND (5) QDP (6) UsableRulesProof [EQUIVALENT, 0 ms] (7) QDP (8) QReductionProof [EQUIVALENT, 0 ms] (9) QDP (10) QDPSizeChangeProof [EQUIVALENT, 0 ms] (11) YES (12) QDP (13) UsableRulesProof [EQUIVALENT, 0 ms] (14) QDP (15) QReductionProof [EQUIVALENT, 0 ms] (16) QDP (17) QDPSizeChangeProof [EQUIVALENT, 0 ms] (18) YES (19) QDP (20) UsableRulesProof [EQUIVALENT, 0 ms] (21) QDP (22) QReductionProof [EQUIVALENT, 0 ms] (23) QDP (24) QDPSizeChangeProof [EQUIVALENT, 0 ms] (25) YES (26) QDP (27) UsableRulesProof [EQUIVALENT, 0 ms] (28) QDP (29) QReductionProof [EQUIVALENT, 0 ms] (30) QDP (31) QDPSizeChangeProof [EQUIVALENT, 0 ms] (32) YES (33) QDP (34) MRRProof [EQUIVALENT, 63 ms] (35) QDP (36) QDPOrderProof [EQUIVALENT, 23 ms] (37) QDP (38) QDPOrderProof [EQUIVALENT, 16 ms] (39) QDP (40) DependencyGraphProof [EQUIVALENT, 0 ms] (41) AND (42) QDP (43) TransformationProof [EQUIVALENT, 0 ms] (44) QDP (45) QDPQMonotonicMRRProof [EQUIVALENT, 30 ms] (46) QDP (47) MRRProof [EQUIVALENT, 0 ms] (48) QDP (49) UsableRulesProof [EQUIVALENT, 0 ms] (50) QDP (51) QReductionProof [EQUIVALENT, 0 ms] (52) QDP (53) MRRProof [EQUIVALENT, 11 ms] (54) QDP (55) RFCMatchBoundsDPProof [EQUIVALENT, 0 ms] (56) YES (57) QDP (58) UsableRulesProof [EQUIVALENT, 0 ms] (59) QDP (60) QReductionProof [EQUIVALENT, 0 ms] (61) QDP (62) QDPSizeChangeProof [EQUIVALENT, 0 ms] (63) YES ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: active(f(0)) -> mark(cons(0, f(s(0)))) active(f(s(0))) -> mark(f(p(s(0)))) active(p(s(X))) -> mark(X) mark(f(X)) -> active(f(mark(X))) mark(0) -> active(0) mark(cons(X1, X2)) -> active(cons(mark(X1), X2)) mark(s(X)) -> active(s(mark(X))) mark(p(X)) -> active(p(mark(X))) f(mark(X)) -> f(X) f(active(X)) -> f(X) cons(mark(X1), X2) -> cons(X1, X2) cons(X1, mark(X2)) -> cons(X1, X2) cons(active(X1), X2) -> cons(X1, X2) cons(X1, active(X2)) -> cons(X1, X2)
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