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TRS_Innermost 2019-03-28 22.12 pair #432271352
details
property
value
status
complete
benchmark
MYNAT_nosorts_noand_iGM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n046.star.cs.uiowa.edu
space
Transformed_CSR_innermost_04
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
2.9702 seconds
cpu usage
7.7168
user time
7.41989
system time
0.296908
max virtual memory
1.84767E7
max residence set size
480508.0
stage attributes
key
value
starexec-result
YES
output
7.31/2.87 YES 7.31/2.88 proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml 7.31/2.88 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 7.31/2.88 7.31/2.88 7.31/2.88 Termination w.r.t. Q of the given QTRS could be proven: 7.31/2.88 7.31/2.88 (0) QTRS 7.31/2.88 (1) QTRSRRRProof [EQUIVALENT, 338 ms] 7.31/2.88 (2) QTRS 7.31/2.88 (3) QTRSRRRProof [EQUIVALENT, 53 ms] 7.31/2.88 (4) QTRS 7.31/2.88 (5) QTRSRRRProof [EQUIVALENT, 36 ms] 7.31/2.88 (6) QTRS 7.31/2.88 (7) QTRSRRRProof [EQUIVALENT, 34 ms] 7.31/2.88 (8) QTRS 7.31/2.88 (9) QTRSRRRProof [EQUIVALENT, 43 ms] 7.31/2.88 (10) QTRS 7.31/2.88 (11) QTRSRRRProof [EQUIVALENT, 0 ms] 7.31/2.88 (12) QTRS 7.31/2.88 (13) QTRSRRRProof [EQUIVALENT, 0 ms] 7.31/2.88 (14) QTRS 7.31/2.88 (15) RisEmptyProof [EQUIVALENT, 0 ms] 7.31/2.88 (16) YES 7.31/2.88 7.31/2.88 7.31/2.88 ---------------------------------------- 7.31/2.88 7.31/2.88 (0) 7.31/2.88 Obligation: 7.31/2.88 Q restricted rewrite system: 7.31/2.88 The TRS R consists of the following rules: 7.31/2.88 7.31/2.88 active(U11(tt, M, N)) -> mark(U12(tt, M, N)) 7.31/2.88 active(U12(tt, M, N)) -> mark(s(plus(N, M))) 7.31/2.88 active(U21(tt, M, N)) -> mark(U22(tt, M, N)) 7.31/2.88 active(U22(tt, M, N)) -> mark(plus(x(N, M), N)) 7.31/2.88 active(plus(N, 0)) -> mark(N) 7.31/2.88 active(plus(N, s(M))) -> mark(U11(tt, M, N)) 7.31/2.88 active(x(N, 0)) -> mark(0) 7.31/2.88 active(x(N, s(M))) -> mark(U21(tt, M, N)) 7.31/2.88 mark(U11(X1, X2, X3)) -> active(U11(mark(X1), X2, X3)) 7.31/2.88 mark(tt) -> active(tt) 7.31/2.88 mark(U12(X1, X2, X3)) -> active(U12(mark(X1), X2, X3)) 7.31/2.88 mark(s(X)) -> active(s(mark(X))) 7.31/2.88 mark(plus(X1, X2)) -> active(plus(mark(X1), mark(X2))) 7.31/2.88 mark(U21(X1, X2, X3)) -> active(U21(mark(X1), X2, X3)) 7.31/2.88 mark(U22(X1, X2, X3)) -> active(U22(mark(X1), X2, X3)) 7.31/2.88 mark(x(X1, X2)) -> active(x(mark(X1), mark(X2))) 7.31/2.88 mark(0) -> active(0) 7.31/2.88 U11(mark(X1), X2, X3) -> U11(X1, X2, X3) 7.31/2.88 U11(X1, mark(X2), X3) -> U11(X1, X2, X3) 7.31/2.88 U11(X1, X2, mark(X3)) -> U11(X1, X2, X3) 7.31/2.88 U11(active(X1), X2, X3) -> U11(X1, X2, X3) 7.31/2.88 U11(X1, active(X2), X3) -> U11(X1, X2, X3) 7.31/2.88 U11(X1, X2, active(X3)) -> U11(X1, X2, X3) 7.31/2.88 U12(mark(X1), X2, X3) -> U12(X1, X2, X3) 7.31/2.88 U12(X1, mark(X2), X3) -> U12(X1, X2, X3) 7.31/2.88 U12(X1, X2, mark(X3)) -> U12(X1, X2, X3) 7.31/2.88 U12(active(X1), X2, X3) -> U12(X1, X2, X3) 7.31/2.88 U12(X1, active(X2), X3) -> U12(X1, X2, X3) 7.31/2.88 U12(X1, X2, active(X3)) -> U12(X1, X2, X3) 7.31/2.88 s(mark(X)) -> s(X) 7.31/2.88 s(active(X)) -> s(X) 7.31/2.88 plus(mark(X1), X2) -> plus(X1, X2) 7.31/2.88 plus(X1, mark(X2)) -> plus(X1, X2) 7.31/2.88 plus(active(X1), X2) -> plus(X1, X2) 7.31/2.88 plus(X1, active(X2)) -> plus(X1, X2) 7.31/2.88 U21(mark(X1), X2, X3) -> U21(X1, X2, X3) 7.31/2.88 U21(X1, mark(X2), X3) -> U21(X1, X2, X3) 7.31/2.88 U21(X1, X2, mark(X3)) -> U21(X1, X2, X3) 7.31/2.88 U21(active(X1), X2, X3) -> U21(X1, X2, X3) 7.31/2.88 U21(X1, active(X2), X3) -> U21(X1, X2, X3) 7.31/2.88 U21(X1, X2, active(X3)) -> U21(X1, X2, X3) 7.31/2.88 U22(mark(X1), X2, X3) -> U22(X1, X2, X3) 7.31/2.88 U22(X1, mark(X2), X3) -> U22(X1, X2, X3) 7.31/2.88 U22(X1, X2, mark(X3)) -> U22(X1, X2, X3) 7.31/2.88 U22(active(X1), X2, X3) -> U22(X1, X2, X3) 7.31/2.88 U22(X1, active(X2), X3) -> U22(X1, X2, X3) 7.31/2.88 U22(X1, X2, active(X3)) -> U22(X1, X2, X3) 7.31/2.88 x(mark(X1), X2) -> x(X1, X2) 7.31/2.88 x(X1, mark(X2)) -> x(X1, X2) 7.31/2.88 x(active(X1), X2) -> x(X1, X2) 7.31/2.88 x(X1, active(X2)) -> x(X1, X2) 7.31/2.88 7.31/2.88 The set Q consists of the following terms: 7.31/2.88 7.31/2.88 active(U11(tt, x0, x1)) 7.31/2.88 active(U12(tt, x0, x1)) 7.31/2.88 active(U21(tt, x0, x1)) 7.31/2.88 active(U22(tt, x0, x1)) 7.31/2.88 active(plus(x0, 0)) 7.31/2.88 active(plus(x0, s(x1))) 7.31/2.88 active(x(x0, 0)) 7.31/2.88 active(x(x0, s(x1))) 7.31/2.88 mark(U11(x0, x1, x2)) 7.31/2.88 mark(tt) 7.31/2.88 mark(U12(x0, x1, x2)) 7.31/2.88 mark(s(x0)) 7.31/2.88 mark(plus(x0, x1))
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