NO ignored inputs: (COMMENT Example 1.2 of [ Suzuki et al. , PPL 2014 ] ) NRS: [ (0): |- (f []X) -> [a][]X ] Check confluence by Knuth-Bendix criterion uniform writing to temporary file... ./run_snprover.sh ./SMLNJ-otFd7Y.trs YES Problem: f(X) -> lambda(X) Proof: DP Processor: DPs: TRS: f(X) -> lambda(X) Qed terminating check each BCP has alpha-equivalent normal forms or not BCPs: (0 on 0): { |- < [a][]X_1 <= (f []X_1) => [a][]X_1 >, |- < [a][]X_1 <= (f []X_1) => [b][]X_1 > } BCP: |- < [a][]X_1, [b][]X_1 > ===> nf(lhs):[a][]X_1 and nf(rhs):[b][]X_1 are not aeq some BCP is not joinable result: NO time: 4 msec.