# 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),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,f))),file('i/f/HolSmt/ALL__DISTINCT__CONS', aHLu_FALSITY)).
fof(3, axiom,![X4]:![X5]:((p(s(t_bool,X5))=>p(s(t_bool,X4)))=>((p(s(t_bool,X4))=>p(s(t_bool,X5)))=>s(t_bool,X5)=s(t_bool,X4))),file('i/f/HolSmt/ALL__DISTINCT__CONS', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(40, axiom,![X2]:(s(t_bool,X2)=s(t_bool,f)<=>~(p(s(t_bool,X2)))),file('i/f/HolSmt/ALL__DISTINCT__CONS', ah4s_bools_EQu_u_CLAUSESu_c3)).
fof(62, axiom,![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),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)).
# SZS output end CNFRefutation
