# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, axiom,p(s(t_bool,t)),file('i/f/list/MONO__EXISTS', aHLu_TRUTH)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/list/MONO__EXISTS', aHLu_FALSITY)).
fof(3, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)|s(t_bool,X1)=s(t_bool,f)),file('i/f/list/MONO__EXISTS', aHLu_BOOLu_CASES)).
fof(6, axiom,![X7]:![X10]:![X9]:(p(s(t_bool,h4s_lists_exists(s(t_fun(X7,t_bool),X9),s(t_h4s_lists_list(X7),X10))))<=>?[X11]:(p(s(t_bool,h4s_bools_in(s(X7,X11),s(t_fun(X7,t_bool),h4s_lists_listu_u_tou_u_set(s(t_h4s_lists_list(X7),X10))))))&p(s(t_bool,happ(s(t_fun(X7,t_bool),X9),s(X7,X11)))))),file('i/f/list/MONO__EXISTS', ah4s_lists_EXISTSu_u_MEM)).
fof(12, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)<=>p(s(t_bool,X1))),file('i/f/list/MONO__EXISTS', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(31, axiom,![X1]:(s(t_bool,f)=s(t_bool,X1)<=>~(p(s(t_bool,X1)))),file('i/f/list/MONO__EXISTS', ah4s_bools_EQu_u_CLAUSESu_c2)).
fof(102, axiom,![X7]:![X6]:![X18]:s(t_bool,h4s_bools_in(s(X7,X6),s(t_fun(X7,t_bool),X18)))=s(t_bool,happ(s(t_fun(X7,t_bool),X18),s(X7,X6))),file('i/f/list/MONO__EXISTS', ah4s_bools_INu_u_DEF)).
fof(133, conjecture,![X7]:![X10]:![X28]:![X9]:(![X6]:(p(s(t_bool,happ(s(t_fun(X7,t_bool),X9),s(X7,X6))))=>p(s(t_bool,happ(s(t_fun(X7,t_bool),X28),s(X7,X6)))))=>(p(s(t_bool,h4s_lists_exists(s(t_fun(X7,t_bool),X9),s(t_h4s_lists_list(X7),X10))))=>p(s(t_bool,h4s_lists_exists(s(t_fun(X7,t_bool),X28),s(t_h4s_lists_list(X7),X10)))))),file('i/f/list/MONO__EXISTS', ch4s_lists_MONOu_u_EXISTS)).
# SZS output end CNFRefutation
