# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:p(s(t_bool,h4s_predu_u_sets_inj(s(t_fun(X1,X2),X4),s(t_fun(X1,t_bool),h4s_predu_u_sets_empty),s(t_fun(X2,t_bool),X3)))),file('i/f/pred_set/INJ__EMPTY_c0', ch4s_predu_u_sets_INJu_u_EMPTYu_c0)).
fof(13, axiom,![X2]:![X1]:![X7]:![X3]:![X4]:(p(s(t_bool,h4s_predu_u_sets_inj(s(t_fun(X1,X2),X4),s(t_fun(X1,t_bool),X3),s(t_fun(X2,t_bool),X7))))<=>(![X8]:(p(s(t_bool,h4s_bools_in(s(X1,X8),s(t_fun(X1,t_bool),X3))))=>p(s(t_bool,h4s_bools_in(s(X2,happ(s(t_fun(X1,X2),X4),s(X1,X8))),s(t_fun(X2,t_bool),X7)))))&![X8]:![X9]:((p(s(t_bool,h4s_bools_in(s(X1,X8),s(t_fun(X1,t_bool),X3))))&p(s(t_bool,h4s_bools_in(s(X1,X9),s(t_fun(X1,t_bool),X3)))))=>(s(X2,happ(s(t_fun(X1,X2),X4),s(X1,X8)))=s(X2,happ(s(t_fun(X1,X2),X4),s(X1,X9)))=>s(X1,X8)=s(X1,X9))))),file('i/f/pred_set/INJ__EMPTY_c0', ah4s_predu_u_sets_INJu_u_DEF)).
fof(16, axiom,![X1]:![X8]:~(p(s(t_bool,h4s_bools_in(s(X1,X8),s(t_fun(X1,t_bool),h4s_predu_u_sets_empty))))),file('i/f/pred_set/INJ__EMPTY_c0', ah4s_predu_u_sets_NOTu_u_INu_u_EMPTY)).
# SZS output end CNFRefutation
