- : unit = () - : unit = () h : heuristic = - : unit = () APPLY CRITERIA (Marked dependency pairs) TRS termination of: [1] minus(x,y) -> cond(equal(min(x,y),y),x,y) [2] cond(true,x,y) -> s(minus(x,s(y))) [3] min(0,v) -> 0 [4] min(u,0) -> 0 [5] min(s(u),s(v)) -> s(min(u,v)) [6] equal(0,0) -> true [7] equal(s(x),0) -> false [8] equal(0,s(y)) -> false [9] equal(s(x),s(y)) -> equal(x,y) Sub problem: guided: DP termination of: END GUIDED APPLY CRITERIA (Graph splitting) Found 3 components: { --> --> } { --> } { --> } APPLY CRITERIA (Subterm criterion) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { cond(true,x,y) >= s(minus(x,s(y))) ; equal(s(x),s(y)) >= equal(x,y) ; equal(s(x),0) >= false ; equal(0,s(y)) >= false ; equal(0,0) >= true ; min(s(u),s(v)) >= s(min(u,v)) ; min(0,v) >= 0 ; min(u,0) >= 0 ; minus(x,y) >= cond(equal(min(x,y),y),x,y) ; Marked_cond(true,x,y) >= Marked_minus(x,s(y)) ; Marked_minus(x,y) >= Marked_cond(equal(min(x,y),y),x,y) ; } + Disjunctions:{ { Marked_cond(true,x,y) > Marked_minus(x,s(y)) ; } { Marked_minus(x,y) > Marked_cond(equal(min(x,y),y),x,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 : 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: { cond(true,x,y) >= s(minus(x,s(y))) ; equal(s(x),s(y)) >= equal(x,y) ; equal(s(x),0) >= false ; equal(0,s(y)) >= false ; equal(0,0) >= true ; min(s(u),s(v)) >= s(min(u,v)) ; min(0,v) >= 0 ; min(u,0) >= 0 ; minus(x,y) >= cond(equal(min(x,y),y),x,y) ; Marked_cond(true,x,y) >= Marked_minus(x,s(y)) ; Marked_minus(x,y) > Marked_cond(equal(min(x,y),y),x,y) ; } APPLY CRITERIA (SOLVE_ORD) Trying to solve the following constraints: { cond(true,x,y) >= s(minus(x,s(y))) ; equal(s(x),s(y)) >= equal(x,y) ; equal(s(x),0) >= false ; equal(0,s(y)) >= false ; equal(0,0) >= true ; min(s(u),s(v)) >= s(min(u,v)) ; min(0,v) >= 0 ; min(u,0) >= 0 ; minus(x,y) >= cond(equal(min(x,y),y),x,y) ; Marked_cond(true,x,y) >= Marked_minus(x,s(y)) ; Marked_minus(x,y) > Marked_cond(equal(min(x,y),y),x,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.(4766 bt (4733) [558]) === 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 1.833931 seconds (real time) Cime Exit Status: 0