# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(p(s(t_bool,h4s_lists_allu_u_distinct(s(t_h4s_lists_list(X1),happ(s(t_fun(t_h4s_lists_list(X1),t_h4s_lists_list(X1)),happ(s(t_fun(X1,t_fun(t_h4s_lists_list(X1),t_h4s_lists_list(X1))),h4s_lists_cons),s(X1,X3))),s(t_h4s_lists_list(X1),happ(s(t_fun(t_h4s_lists_list(X1),t_h4s_lists_list(X1)),happ(s(t_fun(X1,t_fun(t_h4s_lists_list(X1),t_h4s_lists_list(X1))),h4s_lists_cons),s(X1,X2))),s(t_h4s_lists_list(X1),h4s_lists_nil))))))))<=>~(s(X1,X3)=s(X1,X2))),file('i/f/HolSmt/r063', ch4s_HolSmts_r063)).
fof(36, axiom,![X1]:![X4]:![X21]:(p(s(t_bool,h4s_lists_allu_u_distinct(s(t_h4s_lists_list(X1),happ(s(t_fun(t_h4s_lists_list(X1),t_h4s_lists_list(X1)),happ(s(t_fun(X1,t_fun(t_h4s_lists_list(X1),t_h4s_lists_list(X1))),h4s_lists_cons),s(X1,X21))),s(t_h4s_lists_list(X1),X4))))))<=>(~(p(s(t_bool,h4s_bools_in(s(X1,X21),s(t_fun(X1,t_bool),h4s_lists_listu_u_tou_u_set(s(t_h4s_lists_list(X1),X4)))))))&p(s(t_bool,h4s_lists_allu_u_distinct(s(t_h4s_lists_list(X1),X4)))))),file('i/f/HolSmt/r063', ah4s_lists_ALLu_u_DISTINCT0u_c1)).
fof(38, axiom,![X1]:![X3]:p(s(t_bool,h4s_lists_allu_u_distinct(s(t_h4s_lists_list(X1),happ(s(t_fun(t_h4s_lists_list(X1),t_h4s_lists_list(X1)),happ(s(t_fun(X1,t_fun(t_h4s_lists_list(X1),t_h4s_lists_list(X1))),h4s_lists_cons),s(X1,X3))),s(t_h4s_lists_list(X1),h4s_lists_nil)))))),file('i/f/HolSmt/r063', ah4s_lists_ALLu_u_DISTINCTu_u_SING)).
fof(56, axiom,![X1]:![X3]:s(t_bool,h4s_bools_in(s(X1,X3),s(t_fun(X1,t_bool),h4s_lists_listu_u_tou_u_set(s(t_h4s_lists_list(X1),h4s_lists_nil)))))=s(t_bool,f),file('i/f/HolSmt/r063', ah4s_lists_MEMu_c0)).
fof(59, axiom,![X1]:![X3]:![X4]:![X21]:(p(s(t_bool,h4s_bools_in(s(X1,X3),s(t_fun(X1,t_bool),h4s_lists_listu_u_tou_u_set(s(t_h4s_lists_list(X1),happ(s(t_fun(t_h4s_lists_list(X1),t_h4s_lists_list(X1)),happ(s(t_fun(X1,t_fun(t_h4s_lists_list(X1),t_h4s_lists_list(X1))),h4s_lists_cons),s(X1,X21))),s(t_h4s_lists_list(X1),X4))))))))<=>(s(X1,X3)=s(X1,X21)|p(s(t_bool,h4s_bools_in(s(X1,X3),s(t_fun(X1,t_bool),h4s_lists_listu_u_tou_u_set(s(t_h4s_lists_list(X1),X4)))))))),file('i/f/HolSmt/r063', ah4s_lists_MEMu_c1)).
# SZS output end CNFRefutation
