0.00/0.00 MAYBE 0.00/0.00 0.00/0.00 0.00/0.00 Succeeded in reading "/export/starexec/sandbox/benchmark/theBenchmark.trs". 0.00/0.00 (CONDITIONTYPE ORIENTED) 0.00/0.00 (VAR x y z) 0.00/0.00 (RULES 0.00/0.00 even(x) -> tt | double(y) == x 0.00/0.00 odd(x) -> ff | double(y) == x 0.00/0.00 double(0) -> 0 0.00/0.00 double(s(y)) -> s(s(z)) | double(y) == z 0.00/0.00 ) 0.00/0.00 (COMMENT doi:10.1016/j.tcs.2012.09.005 [72] Example 7 submitted by: Thomas Sternagel and Aart Middeldorp) 0.00/0.00 0.00/0.00 No "->="-rules. 0.00/0.00 0.00/0.00 Decomposed conditions if possible. 0.00/0.00 (CONDITIONTYPE ORIENTED) 0.00/0.00 (VAR x y z) 0.00/0.00 (RULES 0.00/0.00 even(x) -> tt | double(y) == x 0.00/0.00 odd(x) -> ff | double(y) == x 0.00/0.00 double(0) -> 0 0.00/0.00 double(s(y)) -> s(s(z)) | double(y) == z 0.00/0.00 ) 0.00/0.00 (COMMENT doi:10.1016/j.tcs.2012.09.005 [72] Example 7 submitted by: Thomas Sternagel and Aart Middeldorp) 0.00/0.00 0.00/0.00 Removed infeasible rules as much as possible. 0.00/0.00 (CONDITIONTYPE ORIENTED) 0.00/0.00 (VAR x y z) 0.00/0.00 (RULES 0.00/0.00 even(x) -> tt | double(y) == x 0.00/0.00 odd(x) -> ff | double(y) == x 0.00/0.00 double(0) -> 0 0.00/0.00 double(s(y)) -> s(s(z)) | double(y) == z 0.00/0.00 ) 0.00/0.00 (COMMENT doi:10.1016/j.tcs.2012.09.005 [72] Example 7 submitted by: Thomas Sternagel and Aart Middeldorp) 0.00/0.00 0.00/0.00 Try to disprove confluence of the following (C)TRS: 0.00/0.00 (CONDITIONTYPE ORIENTED) 0.00/0.00 (VAR x y z) 0.00/0.00 (RULES 0.00/0.00 even(x) -> tt | double(y) == x 0.00/0.00 odd(x) -> ff | double(y) == x 0.00/0.00 double(0) -> 0 0.00/0.00 double(s(y)) -> s(s(z)) | double(y) == z 0.00/0.00 ) 0.00/0.00 (COMMENT doi:10.1016/j.tcs.2012.09.005 [72] Example 7 submitted by: Thomas Sternagel and Aart Middeldorp) 0.00/0.00 0.00/0.00 Failed either to apply SR and U for normal 1CTRSs to the above CTRS or to prove confluence of any converted TRSs. 0.00/0.00 0.00/0.00 Try to apply SR and U for 3DCTRSs to the above CTRS. 0.00/0.00 EOF