# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:p(s(t_bool,h4s_llists_llengthu_u_rel(s(t_h4s_llists_llist(X1),h4s_llists_lnil),s(t_h4s_nums_num,h4s_nums_0)))),file('i/f/llist/llength__rel__rules_c0', ch4s_llists_llengthu_u_relu_u_rulesu_c0)).
fof(5, axiom,![X1]:![X6]:![X8]:(p(s(t_bool,h4s_llists_llengthu_u_rel(s(t_h4s_llists_llist(X1),X6),s(t_h4s_nums_num,X8))))<=>![X9]:(![X10]:![X11]:(((s(t_h4s_llists_llist(X1),X10)=s(t_h4s_llists_llist(X1),h4s_llists_lnil)&s(t_h4s_nums_num,X11)=s(t_h4s_nums_num,h4s_nums_0))|?[X12]:?[X13]:?[X14]:(s(t_h4s_llists_llist(X1),X10)=s(t_h4s_llists_llist(X1),h4s_llists_lcons(s(X1,X12),s(t_h4s_llists_llist(X1),X14)))&(s(t_h4s_nums_num,X11)=s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X13)))&p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),happ(s(t_fun(t_h4s_llists_llist(X1),t_fun(t_h4s_nums_num,t_bool)),X9),s(t_h4s_llists_llist(X1),X14))),s(t_h4s_nums_num,X13)))))))=>p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),happ(s(t_fun(t_h4s_llists_llist(X1),t_fun(t_h4s_nums_num,t_bool)),X9),s(t_h4s_llists_llist(X1),X10))),s(t_h4s_nums_num,X11)))))=>p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),happ(s(t_fun(t_h4s_llists_llist(X1),t_fun(t_h4s_nums_num,t_bool)),X9),s(t_h4s_llists_llist(X1),X6))),s(t_h4s_nums_num,X8)))))),file('i/f/llist/llength__rel__rules_c0', ah4s_llists_llengthu_u_relu_u_def)).
# SZS output end CNFRefutation
