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TRS Stand 20472 pair #381712135
details
property
value
status
complete
benchmark
lepper_3.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n106.star.cs.uiowa.edu
space
Hydras
run statistics
property
value
solver
Wanda
configuration
FirstOrder
runtime (wallclock)
6.23961901665 seconds
cpu usage
6.235639447
max memory
2.9042688E8
stage attributes
key
value
output-size
4003
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. !plus : [o * o] --> o 0 : [] --> o J1 : [o * o] --> o J2 : [o * o * o] --> o J3 : [o * o * o * o] --> o M : [o * o * o * o] --> o P : [o * o * o * o] --> o Q11 : [o * o] --> o Q21 : [o * o * o] --> o Q22 : [o * o * o] --> o Q31 : [o * o * o * o] --> o Q32 : [o * o * o * o] --> o Q33 : [o * o * o * o] --> o R1 : [o * o * o] --> o R2 : [o * o * o * o] --> o R3 : [o * o * o * o * o] --> o S : [o] --> o a : [o] --> o l : [o] --> o o : [o] --> o a(X) => X o(X) => X l(X) => X S(X) => X !plus(X, Y) => Y !plus(X, Y) => X P(X, Y, Z, U) => U P(X, Y, Z, U) => Z P(X, Y, Z, U) => Y P(X, Y, Z, U) => X M(X, Y, Z, U) => U M(X, Y, Z, U) => Z M(X, Y, Z, U) => Y M(X, Y, Z, U) => X J1(X, Y) => Y J1(X, Y) => X J2(X, Y, Z) => Z J2(X, Y, Z) => Y J2(X, Y, Z) => X J3(X, Y, Z, U) => U J3(X, Y, Z, U) => Z J3(X, Y, Z, U) => Y J3(X, Y, Z, U) => X Q11(X, Y) => Y Q11(X, Y) => X Q21(X, Y, Z) => Z Q21(X, Y, Z) => Y Q21(X, Y, Z) => X Q22(X, Y, Z) => Z Q22(X, Y, Z) => Y Q22(X, Y, Z) => X Q31(X, Y, Z, U) => U Q31(X, Y, Z, U) => Z Q31(X, Y, Z, U) => Y Q31(X, Y, Z, U) => X Q32(X, Y, Z, U) => U Q32(X, Y, Z, U) => Z Q32(X, Y, Z, U) => Y Q32(X, Y, Z, U) => X Q33(X, Y, Z, U) => U Q33(X, Y, Z, U) => Z Q33(X, Y, Z, U) => Y Q33(X, Y, Z, U) => X R1(X, Y, Z) => Z R1(X, Y, Z) => Y R1(X, Y, Z) => X R2(X, Y, Z, U) => U R2(X, Y, Z, U) => Z R2(X, Y, Z, U) => Y R2(X, Y, Z, U) => X R3(X, Y, Z, U, V) => V R3(X, Y, Z, U, V) => U R3(X, Y, Z, U, V) => Z R3(X, Y, Z, U, V) => Y R3(X, Y, Z, U, V) => X P(0, 0, 0, 0) => S(0) !plus(X, S(Y)) => S(!plus(X, Y)) a(l(X)) => l(a(a(X))) l(o(X)) => o(l(l(X))) o(X) => l(X) l(X) => a(X) a(S(X)) => S(l(X)) a(!plus(X, Y)) => !plus(l(X), Y) a(!plus(X, Y)) => !plus(X, l(Y)) a(P(X, Y, Z, U)) => P(X, Y, Z, l(U)) a(P(X, Y, Z, U)) => P(X, Y, l(Z), U) a(P(X, Y, Z, U)) => P(X, l(Y), Z, U) a(P(X, Y, Z, U)) => P(l(X), Y, Z, U)
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