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TRS Innermost pair #487093552
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
n141.star.cs.uiowa.edu
space
Transformed_CSR_innermost_04
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
1.86929 seconds
cpu usage
1.78445
user time
1.38739
system time
0.397068
max virtual memory
707472.0
max residence set size
18888.0
stage attributes
key
value
starexec-result
YES
output
YES Problem 1: (VAR v_NonEmpty:S M:S N:S V1:S V2:S X:S X1:S X2:S X3:S) (RULES U11(active(X1:S),X2:S) -> U11(X1:S,X2:S) U11(mark(X1:S),X2:S) -> U11(X1:S,X2:S) U11(X1:S,active(X2:S)) -> U11(X1:S,X2:S) U11(X1:S,mark(X2:S)) -> U11(X1:S,X2:S) U21(active(X1:S),X2:S,X3:S) -> U21(X1:S,X2:S,X3:S) U21(mark(X1:S),X2:S,X3:S) -> U21(X1:S,X2:S,X3:S) U21(X1:S,active(X2:S),X3:S) -> U21(X1:S,X2:S,X3:S) U21(X1:S,mark(X2:S),X3:S) -> U21(X1:S,X2:S,X3:S) U21(X1:S,X2:S,active(X3:S)) -> U21(X1:S,X2:S,X3:S) U21(X1:S,X2:S,mark(X3:S)) -> U21(X1:S,X2:S,X3:S) active(U11(tt,N:S)) -> mark(N:S) active(U21(tt,M:S,N:S)) -> mark(s(plus(N:S,M:S))) active(and(tt,X:S)) -> mark(X:S) active(isNat(plus(V1:S,V2:S))) -> mark(and(isNat(V1:S),isNat(V2:S))) active(isNat(s(V1:S))) -> mark(isNat(V1:S)) active(isNat(0)) -> mark(tt) active(plus(N:S,s(M:S))) -> mark(U21(and(isNat(M:S),isNat(N:S)),M:S,N:S)) active(plus(N:S,0)) -> mark(U11(isNat(N:S),N:S)) and(active(X1:S),X2:S) -> and(X1:S,X2:S) and(mark(X1:S),X2:S) -> and(X1:S,X2:S) and(X1:S,active(X2:S)) -> and(X1:S,X2:S) and(X1:S,mark(X2:S)) -> and(X1:S,X2:S) isNat(active(X:S)) -> isNat(X:S) isNat(mark(X:S)) -> isNat(X:S) mark(U11(X1:S,X2:S)) -> active(U11(mark(X1:S),X2:S)) mark(U21(X1:S,X2:S,X3:S)) -> active(U21(mark(X1:S),X2:S,X3:S)) mark(and(X1:S,X2:S)) -> active(and(mark(X1:S),X2:S)) mark(isNat(X:S)) -> active(isNat(X:S)) mark(plus(X1:S,X2:S)) -> active(plus(mark(X1:S),mark(X2:S))) mark(s(X:S)) -> active(s(mark(X:S))) mark(0) -> active(0) mark(tt) -> active(tt) plus(active(X1:S),X2:S) -> plus(X1:S,X2:S) plus(mark(X1:S),X2:S) -> plus(X1:S,X2:S) plus(X1:S,active(X2:S)) -> plus(X1:S,X2:S) plus(X1:S,mark(X2:S)) -> plus(X1:S,X2:S) s(active(X:S)) -> s(X:S) s(mark(X:S)) -> s(X:S) ) (STRATEGY INNERMOST) Problem 1: Dependency Pairs Processor: -> Pairs: U11#(active(X1:S),X2:S) -> U11#(X1:S,X2:S) U11#(mark(X1:S),X2:S) -> U11#(X1:S,X2:S) U11#(X1:S,active(X2:S)) -> U11#(X1:S,X2:S) U11#(X1:S,mark(X2:S)) -> U11#(X1:S,X2:S) U21#(active(X1:S),X2:S,X3:S) -> U21#(X1:S,X2:S,X3:S) U21#(mark(X1:S),X2:S,X3:S) -> U21#(X1:S,X2:S,X3:S) U21#(X1:S,active(X2:S),X3:S) -> U21#(X1:S,X2:S,X3:S) U21#(X1:S,mark(X2:S),X3:S) -> U21#(X1:S,X2:S,X3:S) U21#(X1:S,X2:S,active(X3:S)) -> U21#(X1:S,X2:S,X3:S) U21#(X1:S,X2:S,mark(X3:S)) -> U21#(X1:S,X2:S,X3:S) ACTIVE(U11(tt,N:S)) -> MARK(N:S) ACTIVE(U21(tt,M:S,N:S)) -> MARK(s(plus(N:S,M:S))) ACTIVE(U21(tt,M:S,N:S)) -> PLUS(N:S,M:S) ACTIVE(U21(tt,M:S,N:S)) -> S(plus(N:S,M:S)) ACTIVE(and(tt,X:S)) -> MARK(X:S) ACTIVE(isNat(plus(V1:S,V2:S))) -> AND(isNat(V1:S),isNat(V2:S)) ACTIVE(isNat(plus(V1:S,V2:S))) -> ISNAT(V1:S) ACTIVE(isNat(plus(V1:S,V2:S))) -> ISNAT(V2:S) ACTIVE(isNat(plus(V1:S,V2:S))) -> MARK(and(isNat(V1:S),isNat(V2:S))) ACTIVE(isNat(s(V1:S))) -> ISNAT(V1:S) ACTIVE(isNat(s(V1:S))) -> MARK(isNat(V1:S)) ACTIVE(isNat(0)) -> MARK(tt) ACTIVE(plus(N:S,s(M:S))) -> U21#(and(isNat(M:S),isNat(N:S)),M:S,N:S) ACTIVE(plus(N:S,s(M:S))) -> AND(isNat(M:S),isNat(N:S)) ACTIVE(plus(N:S,s(M:S))) -> ISNAT(M:S) ACTIVE(plus(N:S,s(M:S))) -> ISNAT(N:S) ACTIVE(plus(N:S,s(M:S))) -> MARK(U21(and(isNat(M:S),isNat(N:S)),M:S,N:S)) ACTIVE(plus(N:S,0)) -> U11#(isNat(N:S),N:S) ACTIVE(plus(N:S,0)) -> ISNAT(N:S) ACTIVE(plus(N:S,0)) -> MARK(U11(isNat(N:S),N:S)) AND(active(X1:S),X2:S) -> AND(X1:S,X2:S) AND(mark(X1:S),X2:S) -> AND(X1:S,X2:S) AND(X1:S,active(X2:S)) -> AND(X1:S,X2:S) AND(X1:S,mark(X2:S)) -> AND(X1:S,X2:S) ISNAT(active(X:S)) -> ISNAT(X:S) ISNAT(mark(X:S)) -> ISNAT(X:S) MARK(U11(X1:S,X2:S)) -> U11#(mark(X1:S),X2:S) MARK(U11(X1:S,X2:S)) -> ACTIVE(U11(mark(X1:S),X2:S)) MARK(U11(X1:S,X2:S)) -> MARK(X1:S) MARK(U21(X1:S,X2:S,X3:S)) -> U21#(mark(X1:S),X2:S,X3:S) MARK(U21(X1:S,X2:S,X3:S)) -> ACTIVE(U21(mark(X1:S),X2:S,X3:S)) MARK(U21(X1:S,X2:S,X3:S)) -> MARK(X1:S) MARK(and(X1:S,X2:S)) -> ACTIVE(and(mark(X1:S),X2:S)) MARK(and(X1:S,X2:S)) -> AND(mark(X1:S),X2:S) MARK(and(X1:S,X2:S)) -> MARK(X1:S) MARK(isNat(X:S)) -> ACTIVE(isNat(X:S)) MARK(plus(X1:S,X2:S)) -> ACTIVE(plus(mark(X1:S),mark(X2:S))) MARK(plus(X1:S,X2:S)) -> MARK(X1:S) MARK(plus(X1:S,X2:S)) -> MARK(X2:S)
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