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TRS Standard pair #516962096
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
n095.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
2.9437661171 seconds
cpu usage
1.62891038
max memory
1.3479936E7
stage attributes
key
value
output-size
177532
starexec-result
YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- 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) ) 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)
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