# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, axiom,p(s(t_bool,t)),file('i/f/list/FILTER__NEQ__ID', aHLu_TRUTH)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/list/FILTER__NEQ__ID', aHLu_FALSITY)).
fof(5, axiom,![X7]:![X6]:![X8]:![X9]:(p(s(t_bool,h4s_bools_in(s(X7,X6),s(t_fun(X7,t_bool),h4s_lists_listu_u_tou_u_set(s(t_h4s_lists_list(X7),h4s_lists_filter(s(t_fun(X7,t_bool),X8),s(t_h4s_lists_list(X7),X9))))))))<=>(p(s(t_bool,happ(s(t_fun(X7,t_bool),X8),s(X7,X6))))&p(s(t_bool,h4s_bools_in(s(X7,X6),s(t_fun(X7,t_bool),h4s_lists_listu_u_tou_u_set(s(t_h4s_lists_list(X7),X9)))))))),file('i/f/list/FILTER__NEQ__ID', ah4s_lists_MEMu_u_FILTER)).
fof(14, axiom,![X7]:![X10]:![X8]:(s(t_h4s_lists_list(X7),h4s_lists_filter(s(t_fun(X7,t_bool),X8),s(t_h4s_lists_list(X7),X10)))=s(t_h4s_lists_list(X7),X10)<=>p(s(t_bool,h4s_lists_every(s(t_fun(X7,t_bool),X8),s(t_h4s_lists_list(X7),X10))))),file('i/f/list/FILTER__NEQ__ID', ah4s_lists_FILTERu_u_EQu_u_ID)).
fof(16, axiom,![X7]:![X10]:![X8]:(p(s(t_bool,h4s_lists_every(s(t_fun(X7,t_bool),X8),s(t_h4s_lists_list(X7),X10))))<=>![X12]:(p(s(t_bool,h4s_bools_in(s(X7,X12),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),X8),s(X7,X12)))))),file('i/f/list/FILTER__NEQ__ID', ah4s_lists_EVERYu_u_MEM)).
fof(22, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)<=>p(s(t_bool,X1))),file('i/f/list/FILTER__NEQ__ID', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(54, axiom,![X1]:(s(t_bool,f)=s(t_bool,X1)<=>~(p(s(t_bool,X1)))),file('i/f/list/FILTER__NEQ__ID', ah4s_bools_EQu_u_CLAUSESu_c2)).
fof(86, axiom,![X7]:![X6]:![X31]:s(t_bool,h4s_bools_in(s(X7,X6),s(t_fun(X7,t_bool),X31)))=s(t_bool,happ(s(t_fun(X7,t_bool),X31),s(X7,X6))),file('i/f/list/FILTER__NEQ__ID', ah4s_bools_INu_u_DEF)).
fof(133, conjecture,![X7]:![X10]:![X8]:(~(s(t_h4s_lists_list(X7),h4s_lists_filter(s(t_fun(X7,t_bool),X8),s(t_h4s_lists_list(X7),X10)))=s(t_h4s_lists_list(X7),X10))<=>?[X6]:(p(s(t_bool,h4s_bools_in(s(X7,X6),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),X8),s(X7,X6))))))),file('i/f/list/FILTER__NEQ__ID', ch4s_lists_FILTERu_u_NEQu_u_ID)).
# SZS output end CNFRefutation
