- : unit = () - : unit = () h : heuristic = - : unit = () APPLY CRITERIA (Marked dependency pairs) TRS termination of: [1] h(c(x,y),c(s(z),z),t(w)) -> h(z,c(y,x),t(t(c(x,c(y,t(w)))))) [2] h(x,c(y,z),t(w)) -> h(c(s(y),x),z,t(c(t(w),w))) [3] h(c(s(x),c(s(0),y)),z,t(x)) -> h(y,c(s(0),c(x,z)),t(t(c(x,s(x))))) [4] t(t(x)) -> t(c(t(x),x)) [5] t(x) -> x [6] t(x) -> c(0,c(0,c(0,c(0,c(0,x))))) 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: { h(c(s(x),c(s(0),y)),z,t(x)) >= h(y,c(s(0),c(x,z)),t(t(c(x,s(x))))) ; h(c(x,y),c(s(z),z),t(w)) >= h(z,c(y,x),t(t(c(x,c(y,t(w)))))) ; h(x,c(y,z),t(w)) >= h(c(s(y),x),z,t(c(t(w),w))) ; t(t(x)) >= t(c(t(x),x)) ; t(x) >= c(0,c(0,c(0,c(0,c(0,x))))) ; t(x) >= x ; Marked_h(c(s(x),c(s(0),y)),z,t(x)) >= Marked_h(y,c(s(0),c(x,z)), t(t(c(x,s(x))))) ; Marked_h(c(x,y),c(s(z),z),t(w)) >= Marked_h(z,c(y,x),t(t(c(x,c(y,t(w)))))) ; Marked_h(x,c(y,z),t(w)) >= Marked_h(c(s(y),x),z,t(c(t(w),w))) ; } + Disjunctions:{ { Marked_h(c(s(x),c(s(0),y)),z,t(x)) > Marked_h(y,c(s(0),c(x,z)), t(t(c(x,s(x))))) ; } { Marked_h(c(x,y),c(s(z),z),t(w)) > Marked_h(z,c(y,x),t(t(c(x,c(y,t(w)))))) ; } { Marked_h(x,c(y,z),t(w)) > Marked_h(c(s(y),x),z,t(c(t(w),w))) ; } } === 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 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 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: { h(c(s(x),c(s(0),y)),z,t(x)) >= h(y,c(s(0),c(x,z)),t(t(c(x,s(x))))) ; h(c(x,y),c(s(z),z),t(w)) >= h(z,c(y,x),t(t(c(x,c(y,t(w)))))) ; h(x,c(y,z),t(w)) >= h(c(s(y),x),z,t(c(t(w),w))) ; t(t(x)) >= t(c(t(x),x)) ; t(x) >= c(0,c(0,c(0,c(0,c(0,x))))) ; t(x) >= x ; Marked_h(c(s(x),c(s(0),y)),z,t(x)) > Marked_h(y,c(s(0),c(x,z)), t(t(c(x,s(x))))) ; Marked_h(c(x,y),c(s(z),z),t(w)) > Marked_h(z,c(y,x),t(t(c(x,c(y,t(w)))))) ; Marked_h(x,c(y,z),t(w)) > Marked_h(c(s(y),x),z,t(c(t(w),w))) ; } APPLY CRITERIA (SOLVE_ORD) Trying to solve the following constraints: { h(c(s(x),c(s(0),y)),z,t(x)) >= h(y,c(s(0),c(x,z)),t(t(c(x,s(x))))) ; h(c(x,y),c(s(z),z),t(w)) >= h(z,c(y,x),t(t(c(x,c(y,t(w)))))) ; h(x,c(y,z),t(w)) >= h(c(s(y),x),z,t(c(t(w),w))) ; t(t(x)) >= t(c(t(x),x)) ; t(x) >= c(0,c(0,c(0,c(0,c(0,x))))) ; t(x) >= x ; Marked_h(c(s(x),c(s(0),y)),z,t(x)) > Marked_h(y,c(s(0),c(x,z)), t(t(c(x,s(x))))) ; Marked_h(c(x,y),c(s(z),z),t(w)) > Marked_h(z,c(y,x),t(t(c(x,c(y,t(w)))))) ; Marked_h(x,c(y,z),t(w)) > Marked_h(c(s(y),x),z,t(c(t(w),w))) ; } + 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.(132 bt (115) [42]) === 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 139.585856 seconds (real time) Cime Exit Status: 0