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TRS Stand 20472 pair #381713106
details
property
value
status
complete
benchmark
MYNAT_nokinds_noand_C.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n039.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
Wanda
configuration
FirstOrder
runtime (wallclock)
3.43067097664 seconds
cpu usage
3.427349169
max memory
1.4413824E8
stage attributes
key
value
output-size
4299
starexec-result
MAYBE
output
/export/starexec/sandbox2/solver/bin/starexec_run_FirstOrder /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- MAYBE We consider the system theBenchmark. We are asked to determine termination of the following first-order TRS. 0 : [] --> o U11 : [o * o] --> o U12 : [o] --> o U21 : [o] --> o U31 : [o * o] --> o U32 : [o] --> o U41 : [o * o] --> o U51 : [o * o * o] --> o U52 : [o * o * o] --> o U61 : [o] --> o U71 : [o * o * o] --> o U72 : [o * o * o] --> o active : [o] --> o isNat : [o] --> o mark : [o] --> o ok : [o] --> o plus : [o * o] --> o proper : [o] --> o s : [o] --> o top : [o] --> o tt : [] --> o x : [o * o] --> o active(U11(tt, X)) => mark(U12(isNat(X))) active(U12(tt)) => mark(tt) active(U21(tt)) => mark(tt) active(U31(tt, X)) => mark(U32(isNat(X))) active(U32(tt)) => mark(tt) active(U41(tt, X)) => mark(X) active(U51(tt, X, Y)) => mark(U52(isNat(Y), X, Y)) active(U52(tt, X, Y)) => mark(s(plus(Y, X))) active(U61(tt)) => mark(0) active(U71(tt, X, Y)) => mark(U72(isNat(Y), X, Y)) active(U72(tt, X, Y)) => mark(plus(x(Y, X), Y)) active(isNat(0)) => mark(tt) active(isNat(plus(X, Y))) => mark(U11(isNat(X), Y)) active(isNat(s(X))) => mark(U21(isNat(X))) active(isNat(x(X, Y))) => mark(U31(isNat(X), Y)) active(plus(X, 0)) => mark(U41(isNat(X), X)) active(plus(X, s(Y))) => mark(U51(isNat(Y), Y, X)) active(x(X, 0)) => mark(U61(isNat(X))) active(x(X, s(Y))) => mark(U71(isNat(Y), Y, X)) active(U11(X, Y)) => U11(active(X), Y) active(U12(X)) => U12(active(X)) active(U21(X)) => U21(active(X)) active(U31(X, Y)) => U31(active(X), Y) active(U32(X)) => U32(active(X)) active(U41(X, Y)) => U41(active(X), Y) active(U51(X, Y, Z)) => U51(active(X), Y, Z) active(U52(X, Y, Z)) => U52(active(X), Y, Z) active(s(X)) => s(active(X)) active(plus(X, Y)) => plus(active(X), Y) active(plus(X, Y)) => plus(X, active(Y)) active(U61(X)) => U61(active(X)) active(U71(X, Y, Z)) => U71(active(X), Y, Z) active(U72(X, Y, Z)) => U72(active(X), Y, Z) active(x(X, Y)) => x(active(X), Y) active(x(X, Y)) => x(X, active(Y)) U11(mark(X), Y) => mark(U11(X, Y)) U12(mark(X)) => mark(U12(X)) U21(mark(X)) => mark(U21(X)) U31(mark(X), Y) => mark(U31(X, Y)) U32(mark(X)) => mark(U32(X)) U41(mark(X), Y) => mark(U41(X, Y)) U51(mark(X), Y, Z) => mark(U51(X, Y, Z)) U52(mark(X), Y, Z) => mark(U52(X, Y, Z)) s(mark(X)) => mark(s(X)) plus(mark(X), Y) => mark(plus(X, Y)) plus(X, mark(Y)) => mark(plus(X, Y)) U61(mark(X)) => mark(U61(X)) U71(mark(X), Y, Z) => mark(U71(X, Y, Z)) U72(mark(X), Y, Z) => mark(U72(X, Y, Z)) x(mark(X), Y) => mark(x(X, Y)) x(X, mark(Y)) => mark(x(X, Y)) proper(U11(X, Y)) => U11(proper(X), proper(Y)) proper(tt) => ok(tt) proper(U12(X)) => U12(proper(X)) proper(isNat(X)) => isNat(proper(X)) proper(U21(X)) => U21(proper(X)) proper(U31(X, Y)) => U31(proper(X), proper(Y)) proper(U32(X)) => U32(proper(X)) proper(U41(X, Y)) => U41(proper(X), proper(Y)) proper(U51(X, Y, Z)) => U51(proper(X), proper(Y), proper(Z)) proper(U52(X, Y, Z)) => U52(proper(X), proper(Y), proper(Z)) proper(s(X)) => s(proper(X)) proper(plus(X, Y)) => plus(proper(X), proper(Y)) proper(U61(X)) => U61(proper(X)) proper(0) => ok(0) proper(U71(X, Y, Z)) => U71(proper(X), proper(Y), proper(Z))
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