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TRS Innermost pair #487524443
details
property
value
status
complete
benchmark
Ex1_2_AEL03_GM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n107.star.cs.uiowa.edu
space
Transformed_CSR_innermost_04
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
48.6112737656 seconds
cpu usage
178.0568626
max memory
4.394233856E9
stage attributes
key
value
output-size
184955
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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) DependencyPairsProof [EQUIVALENT, 122 ms] (2) QDP (3) TransformationProof [EQUIVALENT, 75 ms] (4) QDP (5) DependencyGraphProof [EQUIVALENT, 0 ms] (6) QDP (7) QDPOrderProof [EQUIVALENT, 377 ms] (8) QDP (9) QDPOrderProof [EQUIVALENT, 315 ms] (10) QDP (11) QDPOrderProof [EQUIVALENT, 325 ms] (12) QDP (13) QDPOrderProof [EQUIVALENT, 361 ms] (14) QDP (15) DependencyGraphProof [EQUIVALENT, 0 ms] (16) QDP (17) QDPOrderProof [EQUIVALENT, 290 ms] (18) QDP (19) DependencyGraphProof [EQUIVALENT, 0 ms] (20) QDP (21) QDPOrderProof [EQUIVALENT, 307 ms] (22) QDP (23) QDPOrderProof [EQUIVALENT, 247 ms] (24) QDP (25) DependencyGraphProof [EQUIVALENT, 0 ms] (26) QDP (27) QDPOrderProof [EQUIVALENT, 273 ms] (28) QDP (29) QDPOrderProof [EQUIVALENT, 273 ms] (30) QDP (31) QDPOrderProof [EQUIVALENT, 302 ms] (32) QDP (33) QDPOrderProof [EQUIVALENT, 275 ms] (34) QDP (35) QDPOrderProof [EQUIVALENT, 248 ms] (36) QDP (37) QDPOrderProof [EQUIVALENT, 272 ms] (38) QDP (39) QDPOrderProof [EQUIVALENT, 290 ms] (40) QDP (41) QDPOrderProof [EQUIVALENT, 358 ms] (42) QDP (43) DependencyGraphProof [EQUIVALENT, 0 ms] (44) AND (45) QDP (46) QDPOrderProof [EQUIVALENT, 232 ms] (47) QDP (48) QDPOrderProof [EQUIVALENT, 222 ms] (49) QDP (50) QDPOrderProof [EQUIVALENT, 137 ms] (51) QDP (52) QDPQMonotonicMRRProof [EQUIVALENT, 77 ms] (53) QDP (54) QDPOrderProof [EQUIVALENT, 340 ms] (55) QDP (56) QDPOrderProof [EQUIVALENT, 257 ms] (57) QDP (58) PisEmptyProof [EQUIVALENT, 0 ms] (59) YES (60) QDP (61) QDPOrderProof [EQUIVALENT, 291 ms] (62) QDP (63) PisEmptyProof [EQUIVALENT, 0 ms] (64) YES ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: a__from(X) -> cons(mark(X), from(s(X))) a__2ndspos(0, Z) -> rnil a__2ndspos(s(N), cons(X, cons(Y, Z))) -> rcons(posrecip(mark(Y)), a__2ndsneg(mark(N), mark(Z))) a__2ndsneg(0, Z) -> rnil a__2ndsneg(s(N), cons(X, cons(Y, Z))) -> rcons(negrecip(mark(Y)), a__2ndspos(mark(N), mark(Z))) a__pi(X) -> a__2ndspos(mark(X), a__from(0)) a__plus(0, Y) -> mark(Y) a__plus(s(X), Y) -> s(a__plus(mark(X), mark(Y))) a__times(0, Y) -> 0 a__times(s(X), Y) -> a__plus(mark(Y), a__times(mark(X), mark(Y))) a__square(X) -> a__times(mark(X), mark(X)) mark(from(X)) -> a__from(mark(X)) mark(2ndspos(X1, X2)) -> a__2ndspos(mark(X1), mark(X2))
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