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TRS Stand 20472 pair #381717045
details
property
value
status
complete
benchmark
MYNAT_complete_C.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n108.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
Wanda
configuration
FirstOrder
runtime (wallclock)
20.4030578136 seconds
cpu usage
20.364458441
max memory
1.49184512E8
stage attributes
key
value
output-size
181547
starexec-result
YES
output
/export/starexec/sandbox/solver/bin/starexec_run_FirstOrder /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/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 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, 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)) active(U11(X, Y, Z)) => U11(active(X), Y, Z) active(U12(X, Y)) => U12(active(X), Y) active(U13(X)) => U13(active(X)) active(U21(X, Y)) => U21(active(X), Y) active(U22(X)) => U22(active(X)) active(U31(X, Y, Z)) => U31(active(X), Y, Z) active(U32(X, Y)) => U32(active(X), Y) active(U33(X)) => U33(active(X)) active(U41(X, Y)) => U41(active(X), Y) active(U51(X, Y, Z)) => U51(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(x(X, Y)) => x(active(X), Y) active(x(X, Y)) => x(X, active(Y)) active(and(X, Y)) => and(active(X), Y) U11(mark(X), Y, Z) => mark(U11(X, Y, Z)) U12(mark(X), Y) => mark(U12(X, Y)) U13(mark(X)) => mark(U13(X)) U21(mark(X), Y) => mark(U21(X, Y)) U22(mark(X)) => mark(U22(X)) U31(mark(X), Y, Z) => mark(U31(X, Y, Z)) U32(mark(X), Y) => mark(U32(X, Y)) U33(mark(X)) => mark(U33(X)) U41(mark(X), Y) => mark(U41(X, Y)) U51(mark(X), Y, Z) => mark(U51(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)) x(mark(X), Y) => mark(x(X, Y)) x(X, mark(Y)) => mark(x(X, Y)) and(mark(X), Y) => mark(and(X, Y)) proper(U11(X, Y, Z)) => U11(proper(X), proper(Y), proper(Z)) proper(tt) => ok(tt)
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