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TRS_Innermost 2019-03-28 22.12 pair #432271087
details
property
value
status
complete
benchmark
PEANO_nokinds_iGM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n058.star.cs.uiowa.edu
space
Transformed_CSR_innermost_04
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
1.83577 seconds
cpu usage
1.77301
user time
1.37758
system time
0.395431
max virtual memory
708112.0
max residence set size
19952.0
stage attributes
key
value
starexec-result
YES
output
1.70/1.81 YES 1.70/1.81 1.70/1.81 Problem 1: 1.70/1.81 1.70/1.81 (VAR v_NonEmpty:S M:S N:S V1:S V2:S X:S X1:S X2:S X3:S) 1.70/1.81 (RULES 1.70/1.81 U11(active(X1:S),X2:S) -> U11(X1:S,X2:S) 1.70/1.81 U11(mark(X1:S),X2:S) -> U11(X1:S,X2:S) 1.70/1.81 U11(X1:S,active(X2:S)) -> U11(X1:S,X2:S) 1.70/1.81 U11(X1:S,mark(X2:S)) -> U11(X1:S,X2:S) 1.70/1.81 U21(active(X1:S),X2:S,X3:S) -> U21(X1:S,X2:S,X3:S) 1.70/1.81 U21(mark(X1:S),X2:S,X3:S) -> U21(X1:S,X2:S,X3:S) 1.70/1.81 U21(X1:S,active(X2:S),X3:S) -> U21(X1:S,X2:S,X3:S) 1.70/1.81 U21(X1:S,mark(X2:S),X3:S) -> U21(X1:S,X2:S,X3:S) 1.70/1.81 U21(X1:S,X2:S,active(X3:S)) -> U21(X1:S,X2:S,X3:S) 1.70/1.81 U21(X1:S,X2:S,mark(X3:S)) -> U21(X1:S,X2:S,X3:S) 1.70/1.81 active(U11(tt,N:S)) -> mark(N:S) 1.70/1.81 active(U21(tt,M:S,N:S)) -> mark(s(plus(N:S,M:S))) 1.70/1.81 active(and(tt,X:S)) -> mark(X:S) 1.70/1.81 active(isNat(plus(V1:S,V2:S))) -> mark(and(isNat(V1:S),isNat(V2:S))) 1.70/1.81 active(isNat(s(V1:S))) -> mark(isNat(V1:S)) 1.70/1.81 active(isNat(0)) -> mark(tt) 1.70/1.81 active(plus(N:S,s(M:S))) -> mark(U21(and(isNat(M:S),isNat(N:S)),M:S,N:S)) 1.70/1.81 active(plus(N:S,0)) -> mark(U11(isNat(N:S),N:S)) 1.70/1.81 and(active(X1:S),X2:S) -> and(X1:S,X2:S) 1.70/1.81 and(mark(X1:S),X2:S) -> and(X1:S,X2:S) 1.70/1.81 and(X1:S,active(X2:S)) -> and(X1:S,X2:S) 1.70/1.81 and(X1:S,mark(X2:S)) -> and(X1:S,X2:S) 1.70/1.81 isNat(active(X:S)) -> isNat(X:S) 1.70/1.81 isNat(mark(X:S)) -> isNat(X:S) 1.70/1.81 mark(U11(X1:S,X2:S)) -> active(U11(mark(X1:S),X2:S)) 1.70/1.81 mark(U21(X1:S,X2:S,X3:S)) -> active(U21(mark(X1:S),X2:S,X3:S)) 1.70/1.81 mark(and(X1:S,X2:S)) -> active(and(mark(X1:S),X2:S)) 1.70/1.81 mark(isNat(X:S)) -> active(isNat(X:S)) 1.70/1.81 mark(plus(X1:S,X2:S)) -> active(plus(mark(X1:S),mark(X2:S))) 1.70/1.81 mark(s(X:S)) -> active(s(mark(X:S))) 1.70/1.81 mark(0) -> active(0) 1.70/1.81 mark(tt) -> active(tt) 1.70/1.81 plus(active(X1:S),X2:S) -> plus(X1:S,X2:S) 1.70/1.81 plus(mark(X1:S),X2:S) -> plus(X1:S,X2:S) 1.70/1.81 plus(X1:S,active(X2:S)) -> plus(X1:S,X2:S) 1.70/1.81 plus(X1:S,mark(X2:S)) -> plus(X1:S,X2:S) 1.70/1.81 s(active(X:S)) -> s(X:S) 1.70/1.81 s(mark(X:S)) -> s(X:S) 1.70/1.81 ) 1.70/1.81 (STRATEGY INNERMOST) 1.70/1.81 1.70/1.81 Problem 1: 1.70/1.81 1.70/1.81 Dependency Pairs Processor: 1.70/1.81 -> Pairs: 1.70/1.81 U11#(active(X1:S),X2:S) -> U11#(X1:S,X2:S) 1.70/1.81 U11#(mark(X1:S),X2:S) -> U11#(X1:S,X2:S) 1.70/1.81 U11#(X1:S,active(X2:S)) -> U11#(X1:S,X2:S) 1.70/1.81 U11#(X1:S,mark(X2:S)) -> U11#(X1:S,X2:S) 1.70/1.81 U21#(active(X1:S),X2:S,X3:S) -> U21#(X1:S,X2:S,X3:S) 1.70/1.81 U21#(mark(X1:S),X2:S,X3:S) -> U21#(X1:S,X2:S,X3:S) 1.70/1.81 U21#(X1:S,active(X2:S),X3:S) -> U21#(X1:S,X2:S,X3:S) 1.70/1.81 U21#(X1:S,mark(X2:S),X3:S) -> U21#(X1:S,X2:S,X3:S) 1.70/1.81 U21#(X1:S,X2:S,active(X3:S)) -> U21#(X1:S,X2:S,X3:S) 1.70/1.81 U21#(X1:S,X2:S,mark(X3:S)) -> U21#(X1:S,X2:S,X3:S) 1.70/1.81 ACTIVE(U11(tt,N:S)) -> MARK(N:S) 1.70/1.81 ACTIVE(U21(tt,M:S,N:S)) -> MARK(s(plus(N:S,M:S))) 1.70/1.81 ACTIVE(U21(tt,M:S,N:S)) -> PLUS(N:S,M:S) 1.70/1.81 ACTIVE(U21(tt,M:S,N:S)) -> S(plus(N:S,M:S)) 1.70/1.81 ACTIVE(and(tt,X:S)) -> MARK(X:S) 1.70/1.81 ACTIVE(isNat(plus(V1:S,V2:S))) -> AND(isNat(V1:S),isNat(V2:S)) 1.70/1.81 ACTIVE(isNat(plus(V1:S,V2:S))) -> ISNAT(V1:S) 1.70/1.81 ACTIVE(isNat(plus(V1:S,V2:S))) -> ISNAT(V2:S) 1.70/1.81 ACTIVE(isNat(plus(V1:S,V2:S))) -> MARK(and(isNat(V1:S),isNat(V2:S))) 1.70/1.81 ACTIVE(isNat(s(V1:S))) -> ISNAT(V1:S) 1.70/1.81 ACTIVE(isNat(s(V1:S))) -> MARK(isNat(V1:S)) 1.70/1.81 ACTIVE(isNat(0)) -> MARK(tt) 1.70/1.81 ACTIVE(plus(N:S,s(M:S))) -> U21#(and(isNat(M:S),isNat(N:S)),M:S,N:S) 1.70/1.81 ACTIVE(plus(N:S,s(M:S))) -> AND(isNat(M:S),isNat(N:S)) 1.70/1.81 ACTIVE(plus(N:S,s(M:S))) -> ISNAT(M:S) 1.70/1.81 ACTIVE(plus(N:S,s(M:S))) -> ISNAT(N:S) 1.70/1.81 ACTIVE(plus(N:S,s(M:S))) -> MARK(U21(and(isNat(M:S),isNat(N:S)),M:S,N:S)) 1.70/1.81 ACTIVE(plus(N:S,0)) -> U11#(isNat(N:S),N:S) 1.70/1.81 ACTIVE(plus(N:S,0)) -> ISNAT(N:S) 1.70/1.81 ACTIVE(plus(N:S,0)) -> MARK(U11(isNat(N:S),N:S)) 1.70/1.81 AND(active(X1:S),X2:S) -> AND(X1:S,X2:S) 1.70/1.81 AND(mark(X1:S),X2:S) -> AND(X1:S,X2:S) 1.70/1.81 AND(X1:S,active(X2:S)) -> AND(X1:S,X2:S) 1.70/1.81 AND(X1:S,mark(X2:S)) -> AND(X1:S,X2:S) 1.70/1.81 ISNAT(active(X:S)) -> ISNAT(X:S) 1.70/1.81 ISNAT(mark(X:S)) -> ISNAT(X:S) 1.70/1.81 MARK(U11(X1:S,X2:S)) -> U11#(mark(X1:S),X2:S) 1.70/1.81 MARK(U11(X1:S,X2:S)) -> ACTIVE(U11(mark(X1:S),X2:S)) 1.70/1.81 MARK(U11(X1:S,X2:S)) -> MARK(X1:S) 1.70/1.81 MARK(U21(X1:S,X2:S,X3:S)) -> U21#(mark(X1:S),X2:S,X3:S) 1.70/1.81 MARK(U21(X1:S,X2:S,X3:S)) -> ACTIVE(U21(mark(X1:S),X2:S,X3:S)) 1.70/1.81 MARK(U21(X1:S,X2:S,X3:S)) -> MARK(X1:S) 1.70/1.81 MARK(and(X1:S,X2:S)) -> ACTIVE(and(mark(X1:S),X2:S)) 1.70/1.81 MARK(and(X1:S,X2:S)) -> AND(mark(X1:S),X2:S) 1.70/1.81 MARK(and(X1:S,X2:S)) -> MARK(X1:S) 1.70/1.81 MARK(isNat(X:S)) -> ACTIVE(isNat(X:S)) 1.70/1.81 MARK(plus(X1:S,X2:S)) -> ACTIVE(plus(mark(X1:S),mark(X2:S))) 1.70/1.81 MARK(plus(X1:S,X2:S)) -> MARK(X1:S) 1.70/1.81 MARK(plus(X1:S,X2:S)) -> MARK(X2:S)
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