# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:p(s(t_bool,h4s_lists_allu_u_distinct(s(t_h4s_lists_list(X1),h4s_lists_cons(s(X1,X2),s(t_h4s_lists_list(X1),h4s_lists_nil)))))),file('i/f/list/ALL__DISTINCT__SING', ch4s_lists_ALLu_u_DISTINCTu_u_SING)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/list/ALL__DISTINCT__SING', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/list/ALL__DISTINCT__SING', aHLu_FALSITY)).
fof(7, axiom,![X1]:![X3]:![X4]:(p(s(t_bool,h4s_lists_allu_u_distinct(s(t_h4s_lists_list(X1),h4s_lists_cons(s(X1,X4),s(t_h4s_lists_list(X1),X3))))))<=>(~(p(s(t_bool,h4s_bools_in(s(X1,X4),s(t_fun(X1,t_bool),h4s_lists_listu_u_tou_u_set(s(t_h4s_lists_list(X1),X3)))))))&p(s(t_bool,h4s_lists_allu_u_distinct(s(t_h4s_lists_list(X1),X3)))))),file('i/f/list/ALL__DISTINCT__SING', ah4s_lists_ALLu_u_DISTINCT0u_c1)).
fof(9, axiom,![X1]:s(t_bool,h4s_lists_allu_u_distinct(s(t_h4s_lists_list(X1),h4s_lists_nil)))=s(t_bool,t),file('i/f/list/ALL__DISTINCT__SING', ah4s_lists_ALLu_u_DISTINCT0u_c0)).
fof(10, axiom,![X1]:![X2]: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),h4s_lists_nil)))))=s(t_bool,f),file('i/f/list/ALL__DISTINCT__SING', ah4s_lists_MEMu_c0)).
# SZS output end CNFRefutation
