# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:((p(s(t_bool,h4s_lists_allu_u_distinct(s(t_h4s_lists_list(X1),X4))))&(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X1),X4))))))&p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X1),X4))))))))=>(s(X1,happ(s(t_fun(t_h4s_lists_list(X1),X1),h4s_lists_el(s(t_h4s_nums_num,X3))),s(t_h4s_lists_list(X1),X4)))=s(X1,happ(s(t_fun(t_h4s_lists_list(X1),X1),h4s_lists_el(s(t_h4s_nums_num,X2))),s(t_h4s_lists_list(X1),X4)))<=>s(t_h4s_nums_num,X3)=s(t_h4s_nums_num,X2))),file('i/f/list/ALL__DISTINCT__EL__IMP', ch4s_lists_ALLu_u_DISTINCTu_u_ELu_u_IMP)).
fof(66, axiom,![X1]:![X4]:(p(s(t_bool,h4s_lists_allu_u_distinct(s(t_h4s_lists_list(X1),X4))))<=>![X3]:![X2]:((p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X1),X4))))))&p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X1),X4)))))))=>(s(X1,happ(s(t_fun(t_h4s_lists_list(X1),X1),h4s_lists_el(s(t_h4s_nums_num,X3))),s(t_h4s_lists_list(X1),X4)))=s(X1,happ(s(t_fun(t_h4s_lists_list(X1),X1),h4s_lists_el(s(t_h4s_nums_num,X2))),s(t_h4s_lists_list(X1),X4)))<=>s(t_h4s_nums_num,X3)=s(t_h4s_nums_num,X2)))),file('i/f/list/ALL__DISTINCT__EL__IMP', ah4s_lists_ELu_u_ALLu_u_DISTINCTu_u_ELu_u_EQ)).
fof(70, axiom,p(s(t_bool,t)),file('i/f/list/ALL__DISTINCT__EL__IMP', aHLu_TRUTH)).
fof(73, axiom,![X11]:(s(t_bool,X11)=s(t_bool,t)<=>p(s(t_bool,X11))),file('i/f/list/ALL__DISTINCT__EL__IMP', ah4s_bools_EQu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
