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 z x y) 0.00/0.00 (RULES 0.00/0.00 lte(x,z) -> true | lte(x,y) == true, lte(y,z) == true 0.00/0.00 lte(x,x) -> true 0.00/0.00 max(x,y) -> y | lte(x,y) == true 0.00/0.00 max(x,y) -> x | lte(x,y) == false 0.00/0.00 lte(x,max(x,y)) -> true 0.00/0.00 lte(y,max(x,y)) -> true 0.00/0.00 ) 0.00/0.00 (COMMENT doi:10.1016/S0747-7171 ( 08 ) 80132-0 [53] p. 77 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 z x y) 0.00/0.00 (RULES 0.00/0.00 lte(x,z) -> true | lte(x,y) == true, lte(y,z) == true 0.00/0.00 lte(x,x) -> true 0.00/0.00 max(x,y) -> y | lte(x,y) == true 0.00/0.00 max(x,y) -> x | lte(x,y) == false 0.00/0.00 lte(x,max(x,y)) -> true 0.00/0.00 lte(y,max(x,y)) -> true 0.00/0.00 ) 0.00/0.00 (COMMENT doi:10.1016/S0747-7171 ( 08 ) 80132-0 [53] p. 77 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 z x y) 0.00/0.00 (RULES 0.00/0.00 max(x,y) -> y | lte(x,y) == true 0.00/0.00 lte(x,z) -> true | lte(x,y) == true, lte(y,z) == true 0.00/0.00 lte(x,x) -> true 0.00/0.00 lte(x,max(x,y)) -> true 0.00/0.00 lte(y,max(x,y)) -> true 0.00/0.00 ) 0.00/0.00 (COMMENT doi:10.1016/S0747-7171 ( 08 ) 80132-0 [53] p. 77 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 z x y) 0.00/0.00 (RULES 0.00/0.00 max(x,y) -> y | lte(x,y) == true 0.00/0.00 lte(x,z) -> true | lte(x,y) == true, lte(y,z) == true 0.00/0.00 lte(x,x) -> true 0.00/0.00 lte(x,max(x,y)) -> true 0.00/0.00 lte(y,max(x,y)) -> true 0.00/0.00 ) 0.00/0.00 (COMMENT doi:10.1016/S0747-7171 ( 08 ) 80132-0 [53] p. 77 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