# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:((![X5]:((p(s(t_bool,h4s_bools_in(s(X1,X5),s(t_fun(X1,t_bool),h4s_lists_listu_u_tou_u_set(s(t_h4s_lists_list(X1),X2))))))&p(s(t_bool,happ(s(t_fun(X1,t_bool),X4),s(X1,X5)))))=>p(s(t_bool,happ(s(t_fun(X1,t_bool),X3),s(X1,X5)))))&p(s(t_bool,h4s_lists_every(s(t_fun(X1,t_bool),X4),s(t_h4s_lists_list(X1),X2)))))=>p(s(t_bool,h4s_lists_every(s(t_fun(X1,t_bool),X3),s(t_h4s_lists_list(X1),X2))))),file('i/f/list/EVERY__MEM__MONO', ch4s_lists_EVERYu_u_MEMu_u_MONO)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/list/EVERY__MEM__MONO', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/list/EVERY__MEM__MONO', aHLu_FALSITY)).
fof(8, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)<=>p(s(t_bool,X6))),file('i/f/list/EVERY__MEM__MONO', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(18, axiom,![X6]:(s(t_bool,f)=s(t_bool,X6)<=>~(p(s(t_bool,X6)))),file('i/f/list/EVERY__MEM__MONO', ah4s_bools_EQu_u_CLAUSESu_c2)).
fof(74, axiom,![X1]:![X2]:![X4]:(p(s(t_bool,h4s_lists_every(s(t_fun(X1,t_bool),X4),s(t_h4s_lists_list(X1),X2))))<=>![X30]:(p(s(t_bool,h4s_bools_in(s(X1,X30),s(t_fun(X1,t_bool),h4s_lists_listu_u_tou_u_set(s(t_h4s_lists_list(X1),X2))))))=>p(s(t_bool,happ(s(t_fun(X1,t_bool),X4),s(X1,X30)))))),file('i/f/list/EVERY__MEM__MONO', ah4s_lists_EVERYu_u_MEM)).
# SZS output end CNFRefutation
