0.00/0.00 YES 0.00/0.00 0.00/0.00 0.00/0.00 Succeeded in reading "/export/starexec/sandbox2/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) -> e | d == l 0.00/0.00 h(x,x) -> A 0.00/0.00 ) 0.00/0.00 (COMMENT doi:10.2168/LMCS-8 ( 3:4 ) 2012 [64] Example 4.11 ( R_10 ) 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) 0.00/0.00 (RULES 0.00/0.00 f(x) -> e | d == l 0.00/0.00 h(x,x) -> A 0.00/0.00 ) 0.00/0.00 (COMMENT doi:10.2168/LMCS-8 ( 3:4 ) 2012 [64] Example 4.11 ( R_10 ) 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 (VAR x) 0.00/0.00 (RULES 0.00/0.00 h(x,x) -> A 0.00/0.00 ) 0.00/0.00 (COMMENT doi:10.2168/LMCS-8 ( 3:4 ) 2012 [64] Example 4.11 ( R_10 ) 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 (VAR x) 0.00/0.00 (RULES 0.00/0.00 h(x,x) -> A 0.00/0.00 ) 0.00/0.00 (COMMENT doi:10.2168/LMCS-8 ( 3:4 ) 2012 [64] Example 4.11 ( R_10 ) submitted by: Thomas Sternagel and Aart Middeldorp) 0.00/0.00 0.00/0.00 Try to prove confluence of the following TRS: 0.00/0.00 (VAR x) 0.00/0.00 (RULES 0.00/0.00 h(x,x) -> A 0.00/0.00 ) 0.00/0.00 (COMMENT doi:10.2168/LMCS-8 ( 3:4 ) 2012 [64] Example 4.11 ( R_10 ) submitted by: Thomas Sternagel and Aart Middeldorp) 0.00/0.00 0.00/0.00 Not othogonal. 0.00/0.00 0.00/0.00 Try to prove termination. 0.00/0.00 0.00/0.00 Succeeded in proving termination. 0.00/0.00 0.00/0.00 Try to prove joinability of CPs. 0.00/0.00 0.00/0.00 Succeeded in proving joinablity of all CPs. 0.00/0.00 0.00/0.00 Proved via the following terminating and CP-joinable TRS: 0.00/0.00 (VAR x) 0.00/0.00 (RULES 0.00/0.00 h(x,x) -> A 0.00/0.00 ) 0.00/0.00 (COMMENT doi:10.2168/LMCS-8 ( 3:4 ) 2012 [64] Example 4.11 ( R_10 ) submitted by: Thomas Sternagel and Aart Middeldorp) 0.00/0.00 0.00/0.00 YES 0.00/0.00 EOF