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TRS Standard pair #516961400
details
property
value
status
complete
benchmark
Ex3_3_25_Bor03_iGM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n082.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
AProVE21
configuration
standard
runtime (wallclock)
3.87587213516 seconds
cpu usage
11.758033513
max memory
8.29702144E8
stage attributes
key
value
output-size
47289
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# AProVE Commit ID: c69e44bd14796315568835c1ffa2502984884775 mhark 20210624 unpublished Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) DependencyPairsProof [EQUIVALENT, 67 ms] (2) QDP (3) DependencyGraphProof [EQUIVALENT, 0 ms] (4) AND (5) QDP (6) UsableRulesProof [EQUIVALENT, 0 ms] (7) QDP (8) QDPSizeChangeProof [EQUIVALENT, 0 ms] (9) YES (10) QDP (11) UsableRulesProof [EQUIVALENT, 0 ms] (12) QDP (13) QDPSizeChangeProof [EQUIVALENT, 0 ms] (14) YES (15) QDP (16) UsableRulesProof [EQUIVALENT, 0 ms] (17) QDP (18) QDPSizeChangeProof [EQUIVALENT, 0 ms] (19) YES (20) QDP (21) UsableRulesProof [EQUIVALENT, 0 ms] (22) QDP (23) QDPSizeChangeProof [EQUIVALENT, 0 ms] (24) YES (25) QDP (26) UsableRulesProof [EQUIVALENT, 0 ms] (27) QDP (28) QDPSizeChangeProof [EQUIVALENT, 0 ms] (29) YES (30) QDP (31) UsableRulesProof [EQUIVALENT, 0 ms] (32) QDP (33) QDPSizeChangeProof [EQUIVALENT, 0 ms] (34) YES (35) QDP (36) QDPOrderProof [EQUIVALENT, 101 ms] (37) QDP (38) QDPOrderProof [EQUIVALENT, 25 ms] (39) QDP (40) QDPOrderProof [EQUIVALENT, 33 ms] (41) QDP (42) QDPOrderProof [EQUIVALENT, 7 ms] (43) QDP (44) DependencyGraphProof [EQUIVALENT, 0 ms] (45) QDP (46) UsableRulesProof [EQUIVALENT, 0 ms] (47) QDP (48) QDPSizeChangeProof [EQUIVALENT, 0 ms] (49) YES ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: active(app(nil, YS)) -> mark(YS) active(app(cons(X, XS), YS)) -> mark(cons(X, app(XS, YS))) active(from(X)) -> mark(cons(X, from(s(X)))) active(zWadr(nil, YS)) -> mark(nil) active(zWadr(XS, nil)) -> mark(nil) active(zWadr(cons(X, XS), cons(Y, YS))) -> mark(cons(app(Y, cons(X, nil)), zWadr(XS, YS))) active(prefix(L)) -> mark(cons(nil, zWadr(L, prefix(L)))) mark(app(X1, X2)) -> active(app(mark(X1), mark(X2))) mark(nil) -> active(nil) mark(cons(X1, X2)) -> active(cons(mark(X1), X2)) mark(from(X)) -> active(from(mark(X))) mark(s(X)) -> active(s(mark(X))) mark(zWadr(X1, X2)) -> active(zWadr(mark(X1), mark(X2))) mark(prefix(X)) -> active(prefix(mark(X))) app(mark(X1), X2) -> app(X1, X2) app(X1, mark(X2)) -> app(X1, X2) app(active(X1), X2) -> app(X1, X2) app(X1, active(X2)) -> app(X1, X2) 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) from(mark(X)) -> from(X) from(active(X)) -> from(X) s(mark(X)) -> s(X) s(active(X)) -> s(X) zWadr(mark(X1), X2) -> zWadr(X1, X2) zWadr(X1, mark(X2)) -> zWadr(X1, X2)
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