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TRS Stand 20472 pair #381711574
details
property
value
status
complete
benchmark
MYNAT_complete_iGM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n093.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
Wanda
configuration
FirstOrder
runtime (wallclock)
17.3098859787 seconds
cpu usage
17.302449425
max memory
1.257472E8
stage attributes
key
value
output-size
161542
starexec-result
YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_FirstOrder /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES We consider the system theBenchmark. We are asked to determine termination of the following first-order TRS. 0 : [] --> o U11 : [o * o * o] --> o U12 : [o * o] --> o U13 : [o] --> o U21 : [o * o] --> o U22 : [o] --> o U31 : [o * o * o] --> o U32 : [o * o] --> o U33 : [o] --> o U41 : [o * o] --> o U51 : [o * o * o] --> o U61 : [o] --> o U71 : [o * o * o] --> o active : [o] --> o and : [o * o] --> o isNat : [o] --> o isNatKind : [o] --> o mark : [o] --> o plus : [o * o] --> o s : [o] --> o tt : [] --> o x : [o * o] --> o active(U11(tt, X, Y)) => mark(U12(isNat(X), Y)) active(U12(tt, X)) => mark(U13(isNat(X))) active(U13(tt)) => mark(tt) active(U21(tt, X)) => mark(U22(isNat(X))) active(U22(tt)) => mark(tt) active(U31(tt, X, Y)) => mark(U32(isNat(X), Y)) active(U32(tt, X)) => mark(U33(isNat(X))) active(U33(tt)) => mark(tt) active(U41(tt, X)) => mark(X) active(U51(tt, X, Y)) => mark(s(plus(Y, X))) active(U61(tt)) => mark(0) active(U71(tt, X, Y)) => mark(plus(x(Y, X), Y)) active(and(tt, X)) => mark(X) active(isNat(0)) => mark(tt) active(isNat(plus(X, Y))) => mark(U11(and(isNatKind(X), isNatKind(Y)), X, Y)) active(isNat(s(X))) => mark(U21(isNatKind(X), X)) active(isNat(x(X, Y))) => mark(U31(and(isNatKind(X), isNatKind(Y)), X, Y)) active(isNatKind(0)) => mark(tt) active(isNatKind(plus(X, Y))) => mark(and(isNatKind(X), isNatKind(Y))) active(isNatKind(s(X))) => mark(isNatKind(X)) active(isNatKind(x(X, Y))) => mark(and(isNatKind(X), isNatKind(Y))) active(plus(X, 0)) => mark(U41(and(isNat(X), isNatKind(X)), X)) active(plus(X, s(Y))) => mark(U51(and(and(isNat(Y), isNatKind(Y)), and(isNat(X), isNatKind(X))), Y, X)) active(x(X, 0)) => mark(U61(and(isNat(X), isNatKind(X)))) active(x(X, s(Y))) => mark(U71(and(and(isNat(Y), isNatKind(Y)), and(isNat(X), isNatKind(X))), Y, X)) mark(U11(X, Y, Z)) => active(U11(mark(X), Y, Z)) mark(tt) => active(tt) mark(U12(X, Y)) => active(U12(mark(X), Y)) mark(isNat(X)) => active(isNat(X)) mark(U13(X)) => active(U13(mark(X))) mark(U21(X, Y)) => active(U21(mark(X), Y)) mark(U22(X)) => active(U22(mark(X))) mark(U31(X, Y, Z)) => active(U31(mark(X), Y, Z)) mark(U32(X, Y)) => active(U32(mark(X), Y)) mark(U33(X)) => active(U33(mark(X))) mark(U41(X, Y)) => active(U41(mark(X), Y)) mark(U51(X, Y, Z)) => active(U51(mark(X), Y, Z)) mark(s(X)) => active(s(mark(X))) mark(plus(X, Y)) => active(plus(mark(X), mark(Y))) mark(U61(X)) => active(U61(mark(X))) mark(0) => active(0) mark(U71(X, Y, Z)) => active(U71(mark(X), Y, Z)) mark(x(X, Y)) => active(x(mark(X), mark(Y))) mark(and(X, Y)) => active(and(mark(X), Y)) mark(isNatKind(X)) => active(isNatKind(X)) U11(mark(X), Y, Z) => U11(X, Y, Z) U11(X, mark(Y), Z) => U11(X, Y, Z) U11(X, Y, mark(Z)) => U11(X, Y, Z) U11(active(X), Y, Z) => U11(X, Y, Z) U11(X, active(Y), Z) => U11(X, Y, Z) U11(X, Y, active(Z)) => U11(X, Y, Z) U12(mark(X), Y) => U12(X, Y) U12(X, mark(Y)) => U12(X, Y) U12(active(X), Y) => U12(X, Y) U12(X, active(Y)) => U12(X, Y) isNat(mark(X)) => isNat(X) isNat(active(X)) => isNat(X) U13(mark(X)) => U13(X) U13(active(X)) => U13(X) U21(mark(X), Y) => U21(X, Y) U21(X, mark(Y)) => U21(X, Y) U21(active(X), Y) => U21(X, Y) U21(X, active(Y)) => U21(X, Y) U22(mark(X)) => U22(X) U22(active(X)) => U22(X) U31(mark(X), Y, Z) => U31(X, Y, Z)
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