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

------ Parsing...successful


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

Gamma_0: (extend-no-conflict)
  0: [c_PropLog_Osat(c_emptyset,v_x,t_a)]

Gamma_1: (extend-no-conflict)
  0: [c_PropLog_Osat(c_emptyset,v_x,t_a)]
  1: [c_in(v_x,c_PropLog_Othms(c_emptyset,t_a),tc_PropLog_Opl(t_a))], ~(
c_PropLog_Osat(c_emptyset,v_x,t_a))

Gamma_2: (extend-conflict)
  0: [c_PropLog_Osat(c_emptyset,v_x,t_a)]
  1: [c_in(v_x,c_PropLog_Othms(c_emptyset,t_a),tc_PropLog_Opl(t_a))], ~(
c_PropLog_Osat(c_emptyset,v_x,t_a))
  2: [~(c_in(v_x,c_PropLog_Othms(c_emptyset,t_a),tc_PropLog_Opl(t_a)))]

Gamma_3: (move)
  0: [c_PropLog_Osat(c_emptyset,v_x,t_a)]
  1: [~(c_in(v_x,c_PropLog_Othms(c_emptyset,t_a),tc_PropLog_Opl(t_a)))]
  2: [c_in(v_x,c_PropLog_Othms(c_emptyset,t_a),tc_PropLog_Opl(t_a))], ~(
c_PropLog_Osat(c_emptyset,v_x,t_a))

Gamma_4: (resolve)
  0: [c_PropLog_Osat(c_emptyset,v_x,t_a)]
  1: [~(c_in(v_x,c_PropLog_Othms(c_emptyset,t_a),tc_PropLog_Opl(t_a)))]
  2: [~(c_PropLog_Osat(c_emptyset,v_x,t_a))]

Gamma_5: (extend-conflict)
  0: [c_PropLog_Osat(c_emptyset,v_x,t_a)]
  1: [~(c_in(v_x,c_PropLog_Othms(c_emptyset,t_a),tc_PropLog_Opl(t_a)))]
  2: [~(c_PropLog_Osat(c_emptyset,v_x,t_a))]

Gamma_6: (move)
  0: [~(c_PropLog_Osat(c_emptyset,v_x,t_a))]
  1: [c_PropLog_Osat(c_emptyset,v_x,t_a)]
  2: [~(c_in(v_x,c_PropLog_Othms(c_emptyset,t_a),tc_PropLog_Opl(t_a)))]

Gamma_7: (resolve)
  0: [~(c_PropLog_Osat(c_emptyset,v_x,t_a))]
  1: []
  2: [~(c_in(v_x,c_PropLog_Othms(c_emptyset,t_a),tc_PropLog_Opl(t_a)))]

SZS status Unsatisfiable

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

------ Parsing...successful


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

Gamma_0: (extend-no-conflict)
  0: [c_PropLog_Osat(c_emptyset,v_x,t_a)]

Gamma_1: (extend-no-conflict)
  0: [c_PropLog_Osat(c_emptyset,v_x,t_a)]
  1: [c_in(v_x,c_PropLog_Othms(c_emptyset,t_a),tc_PropLog_Opl(t_a))], ~(
c_PropLog_Osat(c_emptyset,v_x,t_a))

Gamma_2: (extend-conflict)
  0: [c_PropLog_Osat(c_emptyset,v_x,t_a)]
  1: [c_in(v_x,c_PropLog_Othms(c_emptyset,t_a),tc_PropLog_Opl(t_a))], ~(
c_PropLog_Osat(c_emptyset,v_x,t_a))
  2: [~(c_in(v_x,c_PropLog_Othms(c_emptyset,t_a),tc_PropLog_Opl(t_a)))]

Gamma_3: (move)
  0: [c_PropLog_Osat(c_emptyset,v_x,t_a)]
  1: [~(c_in(v_x,c_PropLog_Othms(c_emptyset,t_a),tc_PropLog_Opl(t_a)))]
  2: [c_in(v_x,c_PropLog_Othms(c_emptyset,t_a),tc_PropLog_Opl(t_a))], ~(
c_PropLog_Osat(c_emptyset,v_x,t_a))

Gamma_4: (resolve)
  0: [c_PropLog_Osat(c_emptyset,v_x,t_a)]
  1: [~(c_in(v_x,c_PropLog_Othms(c_emptyset,t_a),tc_PropLog_Opl(t_a)))]
  2: [~(c_PropLog_Osat(c_emptyset,v_x,t_a))]

Gamma_5: (extend-conflict)
  0: [c_PropLog_Osat(c_emptyset,v_x,t_a)]
  1: [~(c_in(v_x,c_PropLog_Othms(c_emptyset,t_a),tc_PropLog_Opl(t_a)))]
  2: [~(c_PropLog_Osat(c_emptyset,v_x,t_a))]

Gamma_6: (move)
  0: [~(c_PropLog_Osat(c_emptyset,v_x,t_a))]
  1: [c_PropLog_Osat(c_emptyset,v_x,t_a)]
  2: [~(c_in(v_x,c_PropLog_Othms(c_emptyset,t_a),tc_PropLog_Opl(t_a)))]

Gamma_7: (resolve)
  0: [~(c_PropLog_Osat(c_emptyset,v_x,t_a))]
  1: []
  2: [~(c_in(v_x,c_PropLog_Othms(c_emptyset,t_a),tc_PropLog_Opl(t_a)))]

SZS status Unsatisfiable