- : unit = () - : unit = () h : heuristic = - : unit = () APPLY CRITERIA (Marked dependency pairs) TRS termination of: [1] app(app(app(app(rec,t),u),v),0) -> t [2] app(app(app(app(rec,t),u),v),app(s,x)) -> app(app(u,x),app(app(app(app(rec,t),u),v),x)) [3] app(app(app(app(rec,t),u),v),app(lim,f)) -> app(app(v,f),app(app(app(app(rectuv,t),u),v),app(f,n))) [4] app(app(app(app(rectuv,t),u),v),n) -> app(app(app(app(rec,t),u),v),n) Sub problem: guided: DP termination of: END GUIDED APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } APPLY CRITERIA (Subterm criterion) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { app(app(app(app(rec,t),u),v),app(s,x)) >= app(app(u,x), app(app(app(app(rec,t),u),v),x)) ; app(app(app(app(rec,t),u),v),app(lim,f)) >= app(app(v,f), app(app(app(app(rectuv,t),u),v), app(f,n))) ; app(app(app(app(rec,t),u),v),0) >= t ; app(app(app(app(rectuv,t),u),v),n) >= app(app(app(app(rec,t),u),v),n) ; Marked_app(app(app(app(rec,t),u),v),app(s,x)) >= Marked_app(app(app( app( rec, t), u), v),x) ; Marked_app(app(app(app(rec,t),u),v),app(s,x)) >= Marked_app(app(u,x), app(app(app(app(rec,t),u), v),x)) ; Marked_app(app(app(app(rec,t),u),v),app(s,x)) >= Marked_app(u,x) ; Marked_app(app(app(app(rec,t),u),v),app(lim,f)) >= Marked_app(app(app( app( rectuv, t), u), v),app(f,n)) ; Marked_app(app(app(app(rec,t),u),v),app(lim,f)) >= Marked_app(app(app( rectuv, t), u),v) ; Marked_app(app(app(app(rec,t),u),v),app(lim,f)) >= Marked_app(app(rectuv,t), u) ; Marked_app(app(app(app(rec,t),u),v),app(lim,f)) >= Marked_app(app(v,f), app(app(app(app(rectuv,t), u),v), app(f,n))) ; Marked_app(app(app(app(rec,t),u),v),app(lim,f)) >= Marked_app(v,f) ; Marked_app(app(app(app(rec,t),u),v),app(lim,f)) >= Marked_app(f,n) ; Marked_app(app(app(app(rectuv,t),u),v),n) >= Marked_app(app(app(app(rec,t),u), v),n) ; Marked_app(app(app(app(rectuv,t),u),v),n) >= Marked_app(app(app(rec,t),u),v) ; Marked_app(app(app(app(rectuv,t),u),v),n) >= Marked_app(app(rec,t),u) ; } + Disjunctions:{ { Marked_app(app(app(app(rec,t),u),v),app(s,x)) > Marked_app(app(app( app(rec,t), u), v),x) ; } { Marked_app(app(app(app(rec,t),u),v),app(s,x)) > Marked_app(app(u,x), app(app(app(app(rec,t),u),v), x)) ; } { Marked_app(app(app(app(rec,t),u),v),app(s,x)) > Marked_app(u,x) ; } { Marked_app(app(app(app(rec,t),u),v),app(lim,f)) > Marked_app(app(app( app( rectuv, t), u), v),app(f,n)) ; } { Marked_app(app(app(app(rec,t),u),v),app(lim,f)) > Marked_app(app(app( rectuv, t), u),v) ; } { Marked_app(app(app(app(rec,t),u),v),app(lim,f)) > Marked_app(app(rectuv,t),u) ; } { Marked_app(app(app(app(rec,t),u),v),app(lim,f)) > Marked_app(app(v,f), app(app(app(app(rectuv,t), u),v),app(f,n))) ; } { Marked_app(app(app(app(rec,t),u),v),app(lim,f)) > Marked_app(v,f) ; } { Marked_app(app(app(app(rec,t),u),v),app(lim,f)) > Marked_app(f,n) ; } { Marked_app(app(app(app(rectuv,t),u),v),n) > Marked_app(app(app(app(rec,t),u), v),n) ; } { Marked_app(app(app(app(rectuv,t),u),v),n) > Marked_app(app(app(rec,t),u),v) ; } { Marked_app(app(app(app(rectuv,t),u),v),n) > Marked_app(app(rec,t),u) ; } } === TIMER virtual : 10.000000 === Entering poly_solver Starting Sat solver initialization Calling Sat solver... === STOPING TIMER virtual === === TIMER real : 10.000000 === === STOPING TIMER real === Sat solver returned === STOPING TIMER real === === STOPING TIMER virtual === No solution found for these parameters. Entering rpo_solver === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 15.000000 === Entering poly_solver Starting Sat solver initialization Calling Sat solver... === STOPING TIMER virtual === === TIMER real : 15.000000 === === STOPING TIMER real === Sat solver returned === STOPING TIMER real === === STOPING TIMER virtual === No solution found for these parameters. === TIMER virtual : 50.000000 === trying sub matrices of size: 1 Matrix interpretation constraints generated. Search parameters: LINEAR MATRIX 3x3 (strict=1x1) ; time limit: 50.. Termination constraints generated. Starting Sat solver initialization Calling Sat solver... === STOPING TIMER virtual === === TIMER real : 50.000000 === === STOPING TIMER real === Sat solver returned === STOPING TIMER real === === STOPING TIMER virtual === No solution found for these parameters. No solution found for these constraints. APPLY CRITERIA (Simple graph) Found the following constraints: { app(app(app(app(rec,t),u),v),app(s,x)) >= app(app(u,x), app(app(app(app(rec,t),u),v),x)) ; app(app(app(app(rec,t),u),v),app(lim,f)) >= app(app(v,f), app(app(app(app(rectuv,t),u),v), app(f,n))) ; app(app(app(app(rec,t),u),v),0) >= t ; app(app(app(app(rectuv,t),u),v),n) >= app(app(app(app(rec,t),u),v),n) ; Marked_app(app(app(app(rec,t),u),v),app(s,x)) > Marked_app(app(app( app(rec,t), u), v),x) ; Marked_app(app(app(app(rec,t),u),v),app(s,x)) > Marked_app(app(u,x), app(app(app(app(rec,t),u),v), x)) ; Marked_app(app(app(app(rec,t),u),v),app(s,x)) > Marked_app(u,x) ; Marked_app(app(app(app(rec,t),u),v),app(lim,f)) > Marked_app(app(app( app( rectuv, t), u), v),app(f,n)) ; Marked_app(app(app(app(rec,t),u),v),app(lim,f)) > Marked_app(app(app( rectuv, t), u),v) ; Marked_app(app(app(app(rec,t),u),v),app(lim,f)) > Marked_app(app(rectuv,t),u) ; Marked_app(app(app(app(rec,t),u),v),app(lim,f)) > Marked_app(app(v,f), app(app(app(app(rectuv,t), u),v),app(f,n))) ; Marked_app(app(app(app(rec,t),u),v),app(lim,f)) > Marked_app(v,f) ; Marked_app(app(app(app(rec,t),u),v),app(lim,f)) > Marked_app(f,n) ; Marked_app(app(app(app(rectuv,t),u),v),n) > Marked_app(app(app(app(rec,t),u), v),n) ; Marked_app(app(app(app(rectuv,t),u),v),n) > Marked_app(app(app(rec,t),u),v) ; Marked_app(app(app(app(rectuv,t),u),v),n) > Marked_app(app(rec,t),u) ; } APPLY CRITERIA (SOLVE_ORD) Trying to solve the following constraints: { app(app(app(app(rec,t),u),v),app(s,x)) >= app(app(u,x), app(app(app(app(rec,t),u),v),x)) ; app(app(app(app(rec,t),u),v),app(lim,f)) >= app(app(v,f), app(app(app(app(rectuv,t),u),v), app(f,n))) ; app(app(app(app(rec,t),u),v),0) >= t ; app(app(app(app(rectuv,t),u),v),n) >= app(app(app(app(rec,t),u),v),n) ; Marked_app(app(app(app(rec,t),u),v),app(s,x)) > Marked_app(app(app( app(rec,t), u), v),x) ; Marked_app(app(app(app(rec,t),u),v),app(s,x)) > Marked_app(app(u,x), app(app(app(app(rec,t),u),v), x)) ; Marked_app(app(app(app(rec,t),u),v),app(s,x)) > Marked_app(u,x) ; Marked_app(app(app(app(rec,t),u),v),app(lim,f)) > Marked_app(app(app( app( rectuv, t), u), v),app(f,n)) ; Marked_app(app(app(app(rec,t),u),v),app(lim,f)) > Marked_app(app(app( rectuv, t), u),v) ; Marked_app(app(app(app(rec,t),u),v),app(lim,f)) > Marked_app(app(rectuv,t),u) ; Marked_app(app(app(app(rec,t),u),v),app(lim,f)) > Marked_app(app(v,f), app(app(app(app(rectuv,t), u),v),app(f,n))) ; Marked_app(app(app(app(rec,t),u),v),app(lim,f)) > Marked_app(v,f) ; Marked_app(app(app(app(rec,t),u),v),app(lim,f)) > Marked_app(f,n) ; Marked_app(app(app(app(rectuv,t),u),v),n) > Marked_app(app(app(app(rec,t),u), v),n) ; Marked_app(app(app(app(rectuv,t),u),v),n) > Marked_app(app(app(rec,t),u),v) ; Marked_app(app(app(app(rectuv,t),u),v),n) > Marked_app(app(rec,t),u) ; } + Disjunctions:{ } === TIMER virtual : 10.000000 === Entering poly_solver Starting Sat solver initialization Calling Sat solver... === STOPING TIMER virtual === === TIMER real : 10.000000 === === STOPING TIMER real === Sat solver returned === STOPING TIMER real === === STOPING TIMER virtual === No solution found for these parameters. Entering rpo_solver === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === No solution found for these parameters.(6 bt (0) [8]) === TIMER virtual : 15.000000 === Entering poly_solver Starting Sat solver initialization Calling Sat solver... === STOPING TIMER virtual === === TIMER real : 15.000000 === === STOPING TIMER real === Sat solver returned === STOPING TIMER real === === STOPING TIMER virtual === No solution found for these parameters. === TIMER virtual : 50.000000 === trying sub matrices of size: 1 Matrix interpretation constraints generated. Search parameters: LINEAR MATRIX 3x3 (strict=1x1) ; time limit: 50.. Termination constraints generated. Starting Sat solver initialization Calling Sat solver... === STOPING TIMER virtual === === TIMER real : 50.000000 === === STOPING TIMER real === Sat solver returned === STOPING TIMER real === === STOPING TIMER virtual === No solution found for these parameters. No solution found for these constraints. APPLY CRITERIA (ID_CRIT) NOT SOLVED No proof found Cime worked for 96.912527 seconds (real time) Cime Exit Status: 0