# 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),h4s_lists_cons(s(X1,X3),s(t_h4s_lists_list(X1),X2))))))<=>(~(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),X2)))))))&p(s(t_bool,h4s_lists_allu_u_distinct(s(t_h4s_lists_list(X1),X2)))))),file('i/f/HolSmt/ALL__DISTINCT__CONS', ch4s_HolSmts_ALLu_u_DISTINCTu_u_CONS)).
fof(2, axiom,p(s(t_bool,t0)),file('i/f/HolSmt/ALL__DISTINCT__CONS', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/HolSmt/ALL__DISTINCT__CONS', aHLu_FALSITY)).
fof(7, axiom,![X1]:![X2]:![X3]:(p(s(t_bool,h4s_lists_allu_u_distinct(s(t_h4s_lists_list(X1),h4s_lists_cons(s(X1,X3),s(t_h4s_lists_list(X1),X2))))))<=>(~(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),X2)))))))&p(s(t_bool,h4s_lists_allu_u_distinct(s(t_h4s_lists_list(X1),X2)))))),file('i/f/HolSmt/ALL__DISTINCT__CONS', ah4s_lists_ALLu_u_DISTINCT0u_c1)).
fof(8, axiom,![X2]:(s(t_bool,X2)=s(t_bool,t0)|s(t_bool,X2)=s(t_bool,f)),file('i/f/HolSmt/ALL__DISTINCT__CONS', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
