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TRS Inner 89993 pair #381733737
details
property
value
status
complete
benchmark
Ex6_9_Luc02c_iGM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n097.star.cs.uiowa.edu
space
Transformed_CSR_innermost_04
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
5.18027687073 seconds
cpu usage
16.616177442
max memory
1.170804736E9
stage attributes
key
value
output-size
63026
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) DependencyPairsProof [EQUIVALENT, 65 ms] (2) QDP (3) DependencyGraphProof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) UsableRulesProof [EQUIVALENT, 0 ms] (35) QDP (36) QReductionProof [EQUIVALENT, 0 ms] (37) QDP (38) QDPSizeChangeProof [EQUIVALENT, 0 ms] (39) YES (40) QDP (41) QDPQMonotonicMRRProof [EQUIVALENT, 101 ms] (42) QDP (43) QDPOrderProof [EQUIVALENT, 19 ms] (44) QDP (45) QDPOrderProof [EQUIVALENT, 94 ms] (46) QDP (47) QDPOrderProof [EQUIVALENT, 110 ms] (48) QDP (49) DependencyGraphProof [EQUIVALENT, 0 ms] (50) QDP (51) QDPQMonotonicMRRProof [EQUIVALENT, 27 ms] (52) QDP (53) QDPOrderProof [EQUIVALENT, 55 ms] (54) QDP (55) DependencyGraphProof [EQUIVALENT, 0 ms] (56) AND (57) QDP (58) QDPOrderProof [EQUIVALENT, 37 ms] (59) QDP (60) DependencyGraphProof [EQUIVALENT, 0 ms] (61) TRUE (62) QDP (63) UsableRulesProof [EQUIVALENT, 0 ms] (64) QDP (65) QReductionProof [EQUIVALENT, 0 ms] (66) QDP (67) QDPSizeChangeProof [EQUIVALENT, 0 ms] (68) YES ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: active(2nd(cons1(X, cons(Y, Z)))) -> mark(Y) active(2nd(cons(X, X1))) -> mark(2nd(cons1(X, X1))) active(from(X)) -> mark(cons(X, from(s(X)))) mark(2nd(X)) -> active(2nd(mark(X))) mark(cons1(X1, X2)) -> active(cons1(mark(X1), mark(X2))) mark(cons(X1, X2)) -> active(cons(mark(X1), X2)) mark(from(X)) -> active(from(mark(X))) mark(s(X)) -> active(s(mark(X))) 2nd(mark(X)) -> 2nd(X)
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