0.00/0.00 MAYBE 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 z y x) 0.00/0.00 (RULES 0.00/0.00 App(App(App(S,x),y),z) -> App(App(x,z),App(y,z)) 0.00/0.00 App(App(K,x),y) -> x 0.00/0.00 App(I,x) -> x 0.00/0.00 App(App(App(C,T),x),y) -> x 0.00/0.00 App(App(App(C,F),x),y) -> y 0.00/0.00 App(App(App(C,z),x),y) -> x | x == y 0.00/0.00 App(App(App(C,z),x),y) -> y | x == y 0.00/0.00 ) 0.00/0.00 (COMMENT doi:10.1007/3-540-54317-1_79 [55] CL-pc^L of Table 2.3 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 y x) 0.00/0.00 (RULES 0.00/0.00 App(App(App(S,x),y),z) -> App(App(x,z),App(y,z)) 0.00/0.00 App(App(K,x),y) -> x 0.00/0.00 App(I,x) -> x 0.00/0.00 App(App(App(C,T),x),y) -> x 0.00/0.00 App(App(App(C,F),x),y) -> y 0.00/0.00 App(App(App(C,z),x),y) -> x | x == y 0.00/0.00 App(App(App(C,z),x),y) -> y | x == y 0.00/0.00 ) 0.00/0.00 (COMMENT doi:10.1007/3-540-54317-1_79 [55] CL-pc^L of Table 2.3 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 y x) 0.00/0.00 (RULES 0.00/0.00 App(App(App(S,x),y),z) -> App(App(x,z),App(y,z)) 0.00/0.00 App(App(K,x),y) -> x 0.00/0.00 App(I,x) -> x 0.00/0.00 App(App(App(C,T),x),y) -> x 0.00/0.00 App(App(App(C,F),x),y) -> y 0.00/0.00 App(App(App(C,z),x),y) -> x | x == y 0.00/0.00 App(App(App(C,z),x),y) -> y | x == y 0.00/0.00 ) 0.00/0.00 (COMMENT doi:10.1007/3-540-54317-1_79 [55] CL-pc^L of Table 2.3 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 y x) 0.00/0.00 (RULES 0.00/0.00 App(App(App(S,x),y),z) -> App(App(x,z),App(y,z)) 0.00/0.00 App(App(K,x),y) -> x 0.00/0.00 App(I,x) -> x 0.00/0.00 App(App(App(C,T),x),y) -> x 0.00/0.00 App(App(App(C,F),x),y) -> y 0.00/0.00 App(App(App(C,z),x),y) -> x | x == y 0.00/0.00 App(App(App(C,z),x),y) -> y | x == y 0.00/0.00 ) 0.00/0.00 (COMMENT doi:10.1007/3-540-54317-1_79 [55] CL-pc^L of Table 2.3 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 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 x3 x2 x1) 0.00/0.00 (RULES 0.00/0.00 App(App(App(S,x1),x2),x3) -> App(App(x1,x3),App(x2,x3)) 0.00/0.00 App(App(K,x1),x2) -> x1 0.00/0.00 App(I,x1) -> x1 0.00/0.00 App(App(App(C,T),x1),x2) -> x1 0.00/0.00 App(App(App(C,F),x1),x2) -> x2 0.00/0.00 App(App(App(C,x1),x2),x3) -> u1(x2,x1,x2,x3) 0.00/0.00 u1(x3,x1,x2,x3) -> x2 0.00/0.00 u1(x3,x1,x2,x3) -> x3 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