# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:p(s(t_bool,h4s_patricias_isu_u_ptree(s(t_h4s_patricias_ptree(X1),happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(t_h4s_nums_num,X1)),t_h4s_patricias_ptree(X1)),happ(s(t_fun(t_h4s_patricias_ptree(X1),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(t_h4s_nums_num,X1)),t_h4s_patricias_ptree(X1))),h4s_patricias_addu_u_list),s(t_h4s_patricias_ptree(X1),h4s_patricias_empty))),s(t_h4s_lists_list(t_h4s_pairs_prod(t_h4s_nums_num,X1)),X2)))))),file('i/f/patricia/ADD__LIST__TO__EMPTY__IS__PTREE', ch4s_patricias_ADDu_u_LISTu_u_TOu_u_EMPTYu_u_ISu_u_PTREE)).
fof(15, axiom,![X1]:s(t_bool,h4s_patricias_isu_u_ptree(s(t_h4s_patricias_ptree(X1),h4s_patricias_empty)))=s(t_bool,t),file('i/f/patricia/ADD__LIST__TO__EMPTY__IS__PTREE', ah4s_patricias_ISu_u_PTREEu_u_defu_c0)).
fof(23, axiom,![X1]:![X10]:![X2]:(p(s(t_bool,h4s_patricias_isu_u_ptree(s(t_h4s_patricias_ptree(X1),X10))))=>p(s(t_bool,h4s_patricias_isu_u_ptree(s(t_h4s_patricias_ptree(X1),happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(t_h4s_nums_num,X1)),t_h4s_patricias_ptree(X1)),happ(s(t_fun(t_h4s_patricias_ptree(X1),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(t_h4s_nums_num,X1)),t_h4s_patricias_ptree(X1))),h4s_patricias_addu_u_list),s(t_h4s_patricias_ptree(X1),X10))),s(t_h4s_lists_list(t_h4s_pairs_prod(t_h4s_nums_num,X1)),X2))))))),file('i/f/patricia/ADD__LIST__TO__EMPTY__IS__PTREE', ah4s_patricias_ADDu_u_LISTu_u_ISu_u_PTREE)).
fof(25, axiom,p(s(t_bool,t)),file('i/f/patricia/ADD__LIST__TO__EMPTY__IS__PTREE', aHLu_TRUTH)).
# SZS output end CNFRefutation
