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) 0.00/0.00 (RULES 0.00/0.00 f(x) -> x | x == a, b == x 0.00/0.00 a -> b 0.00/0.00 b -> c 0.00/0.00 c -> b 0.00/0.00 ) 0.00/0.00 (COMMENT derived from Cops #293 submitted by: Christian Sternagel) 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) 0.00/0.00 (RULES 0.00/0.00 f(x) -> x | x == a, b == x 0.00/0.00 a -> b 0.00/0.00 b -> c 0.00/0.00 c -> b 0.00/0.00 ) 0.00/0.00 (COMMENT derived from Cops #293 submitted by: Christian Sternagel) 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) 0.00/0.00 (RULES 0.00/0.00 f(x) -> x | x == a, b == x 0.00/0.00 a -> b 0.00/0.00 b -> c 0.00/0.00 c -> b 0.00/0.00 ) 0.00/0.00 (COMMENT derived from Cops #293 submitted by: Christian Sternagel) 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) 0.00/0.00 (RULES 0.00/0.00 f(x) -> x | x == a, b == x 0.00/0.00 a -> b 0.00/0.00 b -> c 0.00/0.00 c -> b 0.00/0.00 ) 0.00/0.00 (COMMENT derived from Cops #293 submitted by: Christian Sternagel) 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 0.00/0.00 Succeeded in applying U for 3DCTRSs to the above CTRS. 0.00/0.00 U(R) = 0.00/0.00 (VAR x1) 0.00/0.00 (RULES 0.00/0.00 f(x1) -> u1(x1,x1) 0.00/0.00 u1(a,x1) -> u2(b,x1) 0.00/0.00 u2(x1,x1) -> x1 0.00/0.00 a -> b 0.00/0.00 b -> c 0.00/0.00 c -> b 0.00/0.00 ) 0.00/0.00 0.00/0.00 Failed to prove confluence of U(R). 0.00/0.00 0.00/0.00 Try to prove operational termination of R, i.e., termination of U(R). 0.00/0.00 0.00/0.00 Failed to prove operational termination of R. 0.00/0.00 0.00/0.00 MAYBE 0.00/0.00 EOF