60.05/60.06 MAYBE 60.05/60.06 (ignored inputs)COMMENT doi:10.1007/978-3-540-89439-1_34 [31] Figures 3 and 4 60.05/60.06 input TRS: 60.05/60.06 [ .(?R,.(?T,?U)) -> .(.(?R,?T),?U), 60.05/60.06 .(?R,id) -> ?R, 60.05/60.06 .(id,?R) -> ?R, 60.05/60.06 and(id,id) -> id, 60.05/60.06 sub(id,id) -> id, 60.05/60.06 .(and(?R,?T),and(?U,?V)) -> and(.(?R,?U),.(?T,?V)), 60.05/60.06 .(sub(?R,?T),sub(?U,?V)) -> sub(.(?U,?R),.(?T,?V)), 60.05/60.06 .(and(?R,?T),w1) -> .(w1,?R), 60.05/60.06 .(and(?R,?T),w2) -> .(w2,?T), 60.05/60.06 .(?R,c) -> .(c,and(?R,?R)), 60.05/60.06 .(c,w1) -> id, 60.05/60.06 .(c,w2) -> id, 60.05/60.06 .(?R,i) -> .(i,sub(id,and(?R,id))), 60.05/60.06 .(and(.(i,sub(id,?R)),?T),e) -> .(and(id,?T),?R), 60.05/60.06 .(.(?W,and(?R,?T)),and(?U,?V)) -> .(?W,and(.(?R,?U),.(?T,?V))), 60.05/60.06 .(.(?W,sub(?R,?T)),sub(?U,?V)) -> .(?W,sub(.(?U,?R),.(?T,?V))), 60.05/60.06 .(.(?W,and(?R,?T)),w1) -> .(.(?W,w1),?R), 60.05/60.06 .(.(?W,and(?R,?T)),w2) -> .(.(?W,w2),?T), 60.05/60.06 .(and(i,?R),e) -> and(id,?R), 60.05/60.06 .(.(?W,and(i,?R)),e) -> .(?W,and(id,?R)), 60.05/60.06 .(.(?W,and(.(i,sub(id,?R)),?T)),e) -> .(.(?W,and(id,?T)),?R) ] 60.05/60.06 Try persistent and layer-preserving decomposition... 60.05/60.06 Sort Assignment: 60.05/60.07 . : 59*59=>59 60.05/60.07 c : =>59 60.05/60.07 e : =>59 60.05/60.07 i : =>59 60.05/60.07 id : =>59 60.05/60.07 w1 : =>59 60.05/60.07 w2 : =>59 60.05/60.07 and : 59*59=>59 60.05/60.07 sub : 59*59=>59 60.05/60.07 maximal types: {59} 60.05/60.07 ...decomposition failed. 60.05/60.07 TRS: 60.05/60.07 [ .(?R,.(?T,?U)) -> .(.(?R,?T),?U), 60.05/60.07 .(?R,id) -> ?R, 60.05/60.07 .(id,?R) -> ?R, 60.05/60.07 and(id,id) -> id, 60.05/60.07 sub(id,id) -> id, 60.05/60.07 .(and(?R,?T),and(?U,?V)) -> and(.(?R,?U),.(?T,?V)), 60.05/60.07 .(sub(?R,?T),sub(?U,?V)) -> sub(.(?U,?R),.(?T,?V)), 60.05/60.07 .(and(?R,?T),w1) -> .(w1,?R), 60.05/60.07 .(and(?R,?T),w2) -> .(w2,?T), 60.05/60.07 .(?R,c) -> .(c,and(?R,?R)), 60.05/60.07 .(c,w1) -> id, 60.05/60.07 .(c,w2) -> id, 60.05/60.07 .(?R,i) -> .(i,sub(id,and(?R,id))), 60.05/60.07 .(and(.(i,sub(id,?R)),?T),e) -> .(and(id,?T),?R), 60.05/60.07 .(.(?W,and(?R,?T)),and(?U,?V)) -> .(?W,and(.(?R,?U),.(?T,?V))), 60.05/60.07 .(.(?W,sub(?R,?T)),sub(?U,?V)) -> .(?W,sub(.(?U,?R),.(?T,?V))), 60.05/60.07 .(.(?W,and(?R,?T)),w1) -> .(.(?W,w1),?R), 60.05/60.07 .(.(?W,and(?R,?T)),w2) -> .(.(?W,w2),?T), 60.05/60.07 .(and(i,?R),e) -> and(id,?R), 60.05/60.07 .(.(?W,and(i,?R)),e) -> .(?W,and(id,?R)), 60.05/60.07 .(.(?W,and(.(i,sub(id,?R)),?T)),e) -> .(.(?W,and(id,?T)),?R) ] 60.05/60.07 unknown Non-Omega-Overlapping 60.05/60.07 unknown Right-Reducible 60.05/60.07 Check distinct normal forms in critical pair closure...failed 60.05/60.07 /export/starexec/sandbox2/benchmark/theBenchmark.trs: Failure(timeout) 60.05/60.07 (111252 msec.) 60.05/60.07 EOF