# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:((p(s(t_bool,h4s_predu_u_sets_countable(s(t_fun(X1,t_bool),X3))))|p(s(t_bool,h4s_predu_u_sets_countable(s(t_fun(X1,t_bool),X2)))))=>p(s(t_bool,h4s_predu_u_sets_countable(s(t_fun(X1,t_bool),h4s_predu_u_sets_inter(s(t_fun(X1,t_bool),X3),s(t_fun(X1,t_bool),X2))))))),file('i/f/pred_set/inter__countable', ch4s_predu_u_sets_interu_u_countable)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/pred_set/inter__countable', aHLu_FALSITY)).
fof(18, axiom,![X1]:![X2]:![X3]:((p(s(t_bool,h4s_predu_u_sets_countable(s(t_fun(X1,t_bool),X3))))&p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X2),s(t_fun(X1,t_bool),X3)))))=>p(s(t_bool,h4s_predu_u_sets_countable(s(t_fun(X1,t_bool),X2))))),file('i/f/pred_set/inter__countable', ah4s_predu_u_sets_subsetu_u_countable)).
fof(19, axiom,![X1]:![X2]:![X3]:p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),h4s_predu_u_sets_inter(s(t_fun(X1,t_bool),X3),s(t_fun(X1,t_bool),X2))),s(t_fun(X1,t_bool),X3)))),file('i/f/pred_set/inter__countable', ah4s_predu_u_sets_INTERu_u_SUBSETu_c0)).
fof(20, axiom,![X1]:![X2]:![X3]:p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),h4s_predu_u_sets_inter(s(t_fun(X1,t_bool),X2),s(t_fun(X1,t_bool),X3))),s(t_fun(X1,t_bool),X3)))),file('i/f/pred_set/inter__countable', ah4s_predu_u_sets_INTERu_u_SUBSETu_c1)).
fof(23, axiom,![X2]:(s(t_bool,X2)=s(t_bool,t0)|s(t_bool,X2)=s(t_bool,f)),file('i/f/pred_set/inter__countable', aHLu_BOOLu_CASES)).
fof(24, axiom,p(s(t_bool,t0)),file('i/f/pred_set/inter__countable', aHLu_TRUTH)).
fof(26, axiom,![X2]:(s(t_bool,X2)=s(t_bool,t0)<=>p(s(t_bool,X2))),file('i/f/pred_set/inter__countable', ah4s_bools_EQu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
