# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:(p(s(t_bool,h4s_bags_bagu_u_every(s(t_fun(X1,t_bool),X4),s(t_fun(X1,t_h4s_nums_num),h4s_bags_bagu_u_merge(s(t_fun(X1,t_h4s_nums_num),X3),s(t_fun(X1,t_h4s_nums_num),X2))))))<=>(p(s(t_bool,h4s_bags_bagu_u_every(s(t_fun(X1,t_bool),X4),s(t_fun(X1,t_h4s_nums_num),X3))))&p(s(t_bool,h4s_bags_bagu_u_every(s(t_fun(X1,t_bool),X4),s(t_fun(X1,t_h4s_nums_num),X2)))))),file('i/f/bag/BAG__EVERY__MERGE', ch4s_bags_BAGu_u_EVERYu_u_MERGE)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/bag/BAG__EVERY__MERGE', aHLu_TRUTH)).
fof(11, axiom,![X1]:![X18]:![X4]:(p(s(t_bool,h4s_bags_bagu_u_every(s(t_fun(X1,t_bool),X4),s(t_fun(X1,t_h4s_nums_num),X18))))<=>![X19]:(p(s(t_bool,h4s_bags_bagu_u_in(s(X1,X19),s(t_fun(X1,t_h4s_nums_num),X18))))=>p(s(t_bool,happ(s(t_fun(X1,t_bool),X4),s(X1,X19)))))),file('i/f/bag/BAG__EVERY__MERGE', ah4s_bags_BAGu_u_EVERY0)).
fof(12, axiom,![X1]:![X19]:![X2]:![X3]:(p(s(t_bool,h4s_bags_bagu_u_in(s(X1,X19),s(t_fun(X1,t_h4s_nums_num),h4s_bags_bagu_u_merge(s(t_fun(X1,t_h4s_nums_num),X3),s(t_fun(X1,t_h4s_nums_num),X2))))))<=>(p(s(t_bool,h4s_bags_bagu_u_in(s(X1,X19),s(t_fun(X1,t_h4s_nums_num),X3))))|p(s(t_bool,h4s_bags_bagu_u_in(s(X1,X19),s(t_fun(X1,t_h4s_nums_num),X2)))))),file('i/f/bag/BAG__EVERY__MERGE', ah4s_bags_BAGu_u_INu_u_BAGu_u_MERGE)).
fof(13, axiom,![X20]:(s(t_bool,X20)=s(t_bool,t)|s(t_bool,X20)=s(t_bool,f)),file('i/f/bag/BAG__EVERY__MERGE', aHLu_BOOLu_CASES)).
fof(14, axiom,~(p(s(t_bool,f))),file('i/f/bag/BAG__EVERY__MERGE', aHLu_FALSITY)).
# SZS output end CNFRefutation
