%---------------- SGGS v1.0 (IJCAR 2020 submission) ----------------%

------ Parsing...successful


------ Proving...
use I-

Gamma_0: (extend-no-conflict)
  0: [c_lessequals(v_Y,v_X,tc_set(t_a))]

Gamma_1: (extend-no-conflict)
  0: [c_lessequals(v_Y,v_X,tc_set(t_a))]
  1: [c_in(v_x,v_Y,t_a)]

Gamma_2: (extend-no-conflict)
  0: [c_lessequals(v_Y,v_X,tc_set(t_a))]
  1: [c_in(v_x,v_Y,t_a)]
  2: ~(c_lessequals(v_Y,v_X,tc_set(t_a))), [c_in(v_x,v_X,t_a)], ~(c_in(v_x,v_Y,t_a))

Gamma_3: (extend-conflict)
  0: [c_lessequals(v_Y,v_X,tc_set(t_a))]
  1: [c_in(v_x,v_Y,t_a)]
  2: ~(c_lessequals(v_Y,v_X,tc_set(t_a))), [c_in(v_x,v_X,t_a)], ~(c_in(v_x,v_Y,t_a))
  3: [~(c_in(v_x,v_X,t_a))]

Gamma_4: (move)
  0: [c_lessequals(v_Y,v_X,tc_set(t_a))]
  1: [c_in(v_x,v_Y,t_a)]
  2: [~(c_in(v_x,v_X,t_a))]
  3: ~(c_lessequals(v_Y,v_X,tc_set(t_a))), [c_in(v_x,v_X,t_a)], ~(c_in(v_x,v_Y,t_a))

Gamma_5: (resolve)
  0: [c_lessequals(v_Y,v_X,tc_set(t_a))]
  1: [c_in(v_x,v_Y,t_a)]
  2: [~(c_in(v_x,v_X,t_a))]
  3: [~(c_lessequals(v_Y,v_X,tc_set(t_a)))], ~(c_in(v_x,v_Y,t_a))

Gamma_6: (extend-conflict)
  0: [c_lessequals(v_Y,v_X,tc_set(t_a))]
  1: [c_in(v_x,v_Y,t_a)]
  2: [~(c_in(v_x,v_X,t_a))]
  3: ~(c_lessequals(v_Y,v_X,tc_set(t_a))), [~(c_in(v_x,v_Y,t_a))]

Gamma_7: (move)
  0: [c_lessequals(v_Y,v_X,tc_set(t_a))]
  1: ~(c_lessequals(v_Y,v_X,tc_set(t_a))), [~(c_in(v_x,v_Y,t_a))]
  2: [c_in(v_x,v_Y,t_a)]
  3: [~(c_in(v_x,v_X,t_a))]

Gamma_8: (resolve)
  0: [c_lessequals(v_Y,v_X,tc_set(t_a))]
  1: ~(c_lessequals(v_Y,v_X,tc_set(t_a))), [~(c_in(v_x,v_Y,t_a))]
  2: [~(c_lessequals(v_Y,v_X,tc_set(t_a)))]
  3: [~(c_in(v_x,v_X,t_a))]

Gamma_9: (extend-conflict)
  0: [c_lessequals(v_Y,v_X,tc_set(t_a))]
  1: ~(c_lessequals(v_Y,v_X,tc_set(t_a))), [~(c_in(v_x,v_Y,t_a))]
  2: [~(c_lessequals(v_Y,v_X,tc_set(t_a)))]
  3: [~(c_in(v_x,v_X,t_a))]

Gamma_10: (move)
  0: [~(c_lessequals(v_Y,v_X,tc_set(t_a)))]
  1: [c_lessequals(v_Y,v_X,tc_set(t_a))]
  2: ~(c_lessequals(v_Y,v_X,tc_set(t_a))), [~(c_in(v_x,v_Y,t_a))]
  3: [~(c_in(v_x,v_X,t_a))]

Gamma_11: (resolve)
  0: [~(c_lessequals(v_Y,v_X,tc_set(t_a)))]
  1: []
  2: [~(c_in(v_x,v_X,t_a))]

SZS status Unsatisfiable