# 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,h4s_lists_el(s(t_h4s_nums_num,X3),s(t_h4s_lists_list(X1),X4)))=s(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(2, axiom,p(s(t_bool,t)),file('i/f/list/ALL__DISTINCT__EL__IMP', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/list/ALL__DISTINCT__EL__IMP', aHLu_FALSITY)).
fof(4, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)|s(t_bool,X5)=s(t_bool,f)),file('i/f/list/ALL__DISTINCT__EL__IMP', aHLu_BOOLu_CASES)).
fof(37, 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,h4s_lists_el(s(t_h4s_nums_num,X3),s(t_h4s_lists_list(X1),X4)))=s(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)).
# SZS output end CNFRefutation
