- : unit = () h : heuristic = - : unit = () APPLY CRITERIA (Marked dependency pairs) TRS termination of: [1] le(0,y,z) -> greater(y,z) [2] le(s(x),0,z) -> false [3] le(s(x),s(y),0) -> false [4] le(s(x),s(y),s(z)) -> le(x,y,z) [5] greater(x,0) -> first [6] greater(0,s(y)) -> second [7] greater(s(x),s(y)) -> greater(x,y) [8] double(0) -> 0 [9] double(s(x)) -> s(s(double(x))) [10] triple(x) -> if(le(x,x,double(x)),x,0,0) [11] if(false,x,y,z) -> true [12] if(first,x,y,z) -> if(le(s(x),y,s(z)),s(x),y,s(z)) [13] if(second,x,y,z) -> if(le(s(x),s(y),z),s(x),s(y),z) Sub problem: guided: DP termination of: END GUIDED APPLY CRITERIA (Graph splitting) Found 4 components: { --> } { --> --> --> --> } { --> } { --> } APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { greater(0,s(y)) >= second ; greater(s(x),s(y)) >= greater(x,y) ; greater(x,0) >= first ; le(0,y,z) >= greater(y,z) ; le(s(x),0,z) >= false ; le(s(x),s(y),0) >= false ; le(s(x),s(y),s(z)) >= le(x,y,z) ; double(0) >= 0 ; double(s(x)) >= s(s(double(x))) ; if(false,x,y,z) >= true ; if(first,x,y,z) >= if(le(s(x),y,s(z)),s(x),y,s(z)) ; if(second,x,y,z) >= if(le(s(x),s(y),z),s(x),s(y),z) ; triple(x) >= if(le(x,x,double(x)),x,0,0) ; Marked_double(s(x)) >= Marked_double(x) ; } + Disjunctions:{ { Marked_double(s(x)) > Marked_double(x) ; } } === 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 Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: greater(0,s(y)) >= second constraint: greater(s(x),s(y)) >= greater(x,y) constraint: greater(x,0) >= first constraint: le(0,y,z) >= greater(y,z) constraint: le(s(x),0,z) >= false constraint: le(s(x),s(y),0) >= false constraint: le(s(x),s(y),s(z)) >= le(x,y,z) constraint: double(0) >= 0 constraint: double(s(x)) >= s(s(double(x))) constraint: if(false,x,y,z) >= true constraint: if(first,x,y,z) >= if(le(s(x),y,s(z)),s(x),y,s(z)) constraint: if(second,x,y,z) >= if(le(s(x),s(y),z),s(x),s(y),z) constraint: triple(x) >= if(le(x,x,double(x)),x,0,0) constraint: Marked_double(s(x)) >= Marked_double(x) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { greater(0,s(y)) >= second ; greater(s(x),s(y)) >= greater(x,y) ; greater(x,0) >= first ; le(0,y,z) >= greater(y,z) ; le(s(x),0,z) >= false ; le(s(x),s(y),0) >= false ; le(s(x),s(y),s(z)) >= le(x,y,z) ; double(0) >= 0 ; double(s(x)) >= s(s(double(x))) ; if(false,x,y,z) >= true ; if(first,x,y,z) >= if(le(s(x),y,s(z)),s(x),y,s(z)) ; if(second,x,y,z) >= if(le(s(x),s(y),z),s(x),s(y),z) ; triple(x) >= if(le(x,x,double(x)),x,0,0) ; Marked_if(first,x,y,z) >= Marked_if(le(s(x),y,s(z)),s(x),y,s(z)) ; Marked_if(second,x,y,z) >= Marked_if(le(s(x),s(y),z),s(x),s(y),z) ; } + Disjunctions:{ { Marked_if(first,x,y,z) > Marked_if(le(s(x),y,s(z)),s(x),y,s(z)) ; } { Marked_if(second,x,y,z) > Marked_if(le(s(x),s(y),z),s(x),s(y),z) ; } } === 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 : 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 7.268435 seconds (real time) Cime Exit Status: 0