# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:p(s(t_bool,h4s_bags_bagu_u_allu_u_distinct(s(t_fun(X1,t_h4s_nums_num),h4s_bags_bagu_u_ofu_u_set(s(t_fun(X1,t_bool),X2)))))),file('i/f/bag/BAG__ALL__DISTINCT__BAG__OF__SET', ch4s_bags_BAGu_u_ALLu_u_DISTINCTu_u_BAGu_u_OFu_u_SET)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/bag/BAG__ALL__DISTINCT__BAG__OF__SET', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/bag/BAG__ALL__DISTINCT__BAG__OF__SET', aHLu_FALSITY)).
fof(6, axiom,![X1]:![X4]:(p(s(t_bool,h4s_bags_bagu_u_allu_u_distinct(s(t_fun(X1,t_h4s_nums_num),X4))))<=>s(t_fun(X1,t_h4s_nums_num),h4s_bags_bagu_u_ofu_u_set(s(t_fun(X1,t_bool),h4s_bags_setu_u_ofu_u_bag(s(t_fun(X1,t_h4s_nums_num),X4)))))=s(t_fun(X1,t_h4s_nums_num),X4)),file('i/f/bag/BAG__ALL__DISTINCT__BAG__OF__SET', ah4s_bags_BAGu_u_ALLu_u_DISTINCTu_u_SET)).
fof(7, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)|s(t_bool,X5)=s(t_bool,f)),file('i/f/bag/BAG__ALL__DISTINCT__BAG__OF__SET', aHLu_BOOLu_CASES)).
fof(8, axiom,![X1]:![X2]:s(t_fun(X1,t_bool),h4s_bags_setu_u_ofu_u_bag(s(t_fun(X1,t_h4s_nums_num),h4s_bags_bagu_u_ofu_u_set(s(t_fun(X1,t_bool),X2)))))=s(t_fun(X1,t_bool),X2),file('i/f/bag/BAG__ALL__DISTINCT__BAG__OF__SET', ah4s_bags_SETu_u_BAGu_u_I)).
# SZS output end CNFRefutation
