# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]: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,X2))),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(t_bool,f),file('i/f/HolSmt/r062', ch4s_HolSmts_r062)).
fof(35, axiom,~(p(s(t_bool,f))),file('i/f/HolSmt/r062', aHLu_FALSITY)).
fof(36, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)|s(t_bool,X4)=s(t_bool,f)),file('i/f/HolSmt/r062', aHLu_BOOLu_CASES)).
fof(37, axiom,(~(p(s(t_bool,f)))<=>p(s(t_bool,t))),file('i/f/HolSmt/r062', ah4s_bools_NOTu_u_CLAUSESu_c2)).
fof(53, 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/r062', ah4s_lists_ALLu_u_DISTINCT0u_c1)).
fof(75, axiom,![X1]:![X2]:![X4]:![X21]:(p(s(t_bool,h4s_bools_in(s(X1,X2),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,X2)=s(X1,X21)|p(s(t_bool,h4s_bools_in(s(X1,X2),s(t_fun(X1,t_bool),h4s_lists_listu_u_tou_u_set(s(t_h4s_lists_list(X1),X4)))))))),file('i/f/HolSmt/r062', ah4s_lists_MEMu_c1)).
# SZS output end CNFRefutation
