- : unit = () - : unit = () h : heuristic = - : unit = () APPLY CRITERIA (Marked dependency pairs) TRS termination of: [1] minus(x,0) -> x [2] minus(s(x),s(y)) -> minus(x,y) [3] double(0) -> 0 [4] double(s(x)) -> s(s(double(x))) [5] plus(s(x),s(y)) -> s(s(plus(if(gt(x,y),x,y),if(not(gt(x,y)),id(x),id(y))))) [6] plus(s(x),x) -> plus(if(gt(x,x),id(x),id(x)),s(x)) [7] plus(zero,y) -> y [8] plus(id(x),s(y)) -> s(plus(x,if(gt(s(y),y),y,s(y)))) [9] id(x) -> x [10] if(true,x,y) -> x [11] if(false,x,y) -> y [12] not(x) -> if(x,false,true) [13] gt(s(x),zero) -> true [14] gt(zero,y) -> false [15] gt(s(x),s(y)) -> gt(x,y) Sub problem: guided: DP termination of: END GUIDED APPLY CRITERIA (Graph splitting) Found 4 components: { --> } { --> } { --> --> --> --> --> --> --> --> --> } { --> } APPLY CRITERIA (Subterm criterion) ST: Marked_minus -> 1 APPLY CRITERIA (Subterm criterion) ST: Marked_double -> 1 APPLY CRITERIA (Subterm criterion) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { minus(s(x),s(y)) >= minus(x,y) ; minus(x,0) >= x ; double(0) >= 0 ; double(s(x)) >= s(s(double(x))) ; plus(s(x),s(y)) >= s(s(plus(if(gt(x,y),x,y),if(not(gt(x,y)),id(x),id(y))))) ; plus(s(x),x) >= plus(if(gt(x,x),id(x),id(x)),s(x)) ; plus(id(x),s(y)) >= s(plus(x,if(gt(s(y),y),y,s(y)))) ; plus(zero,y) >= y ; if(true,x,y) >= x ; if(false,x,y) >= y ; gt(s(x),s(y)) >= gt(x,y) ; gt(s(x),zero) >= true ; gt(zero,y) >= false ; not(x) >= if(x,false,true) ; id(x) >= x ; Marked_plus(s(x),s(y)) >= Marked_plus(if(gt(x,y),x,y), if(not(gt(x,y)),id(x),id(y))) ; Marked_plus(s(x),x) >= Marked_plus(if(gt(x,x),id(x),id(x)),s(x)) ; Marked_plus(id(x),s(y)) >= Marked_plus(x,if(gt(s(y),y),y,s(y))) ; } + Disjunctions:{ { Marked_plus(s(x),s(y)) > Marked_plus(if(gt(x,y),x,y), if(not(gt(x,y)),id(x),id(y))) ; } { Marked_plus(s(x),x) > Marked_plus(if(gt(x,x),id(x),id(x)),s(x)) ; } { Marked_plus(id(x),s(y)) > Marked_plus(x,if(gt(s(y),y),y,s(y))) ; } } === 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 : 15.000000 === Entering poly_solver Starting Sat solver initialization Calling Sat solver... === STOPING TIMER virtual === === TIMER real : 15.000000 === === STOPING TIMER real === Sat timeout reached === STOPING TIMER virtual === Time out 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 timeout reached === STOPING TIMER virtual === No solution found for these parameters. No solution found for these constraints. APPLY CRITERIA (Simple graph) Found the following constraints: { minus(s(x),s(y)) >= minus(x,y) ; minus(x,0) >= x ; double(0) >= 0 ; double(s(x)) >= s(s(double(x))) ; plus(s(x),s(y)) >= s(s(plus(if(gt(x,y),x,y),if(not(gt(x,y)),id(x),id(y))))) ; plus(s(x),x) >= plus(if(gt(x,x),id(x),id(x)),s(x)) ; plus(id(x),s(y)) >= s(plus(x,if(gt(s(y),y),y,s(y)))) ; plus(zero,y) >= y ; if(true,x,y) >= x ; if(false,x,y) >= y ; gt(s(x),s(y)) >= gt(x,y) ; gt(s(x),zero) >= true ; gt(zero,y) >= false ; not(x) >= if(x,false,true) ; id(x) >= x ; Marked_plus(s(x),s(y)) > Marked_plus(if(gt(x,y),x,y), if(not(gt(x,y)),id(x),id(y))) ; Marked_plus(s(x),x) > Marked_plus(if(gt(x,x),id(x),id(x)),s(x)) ; Marked_plus(id(x),s(y)) > Marked_plus(x,if(gt(s(y),y),y,s(y))) ; } APPLY CRITERIA (SOLVE_ORD) Trying to solve the following constraints: { minus(s(x),s(y)) >= minus(x,y) ; minus(x,0) >= x ; double(0) >= 0 ; double(s(x)) >= s(s(double(x))) ; plus(s(x),s(y)) >= s(s(plus(if(gt(x,y),x,y),if(not(gt(x,y)),id(x),id(y))))) ; plus(s(x),x) >= plus(if(gt(x,x),id(x),id(x)),s(x)) ; plus(id(x),s(y)) >= s(plus(x,if(gt(s(y),y),y,s(y)))) ; plus(zero,y) >= y ; if(true,x,y) >= x ; if(false,x,y) >= y ; gt(s(x),s(y)) >= gt(x,y) ; gt(s(x),zero) >= true ; gt(zero,y) >= false ; not(x) >= if(x,false,true) ; id(x) >= x ; Marked_plus(s(x),s(y)) > Marked_plus(if(gt(x,y),x,y), if(not(gt(x,y)),id(x),id(y))) ; Marked_plus(s(x),x) > Marked_plus(if(gt(x,x),id(x),id(x)),s(x)) ; Marked_plus(id(x),s(y)) > Marked_plus(x,if(gt(s(y),y),y,s(y))) ; } + 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.(4661 bt (3518) [1701]) === 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 timeout reached === STOPING TIMER virtual === Time out 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 159.711572 seconds (real time) Cime Exit Status: 0