# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:~(s(t_h4s_patricias_ptree(X1),h4s_patricias_empty)=s(t_h4s_patricias_ptree(X1),happ(s(t_fun(X1,t_h4s_patricias_ptree(X1)),happ(s(t_fun(t_h4s_nums_num,t_fun(X1,t_h4s_patricias_ptree(X1))),h4s_patricias_leaf),s(t_h4s_nums_num,X3))),s(X1,X2)))),file('i/f/patricia/ptree__distinct_c0', ch4s_patricias_ptreeu_u_distinctu_c0)).
fof(43, axiom,![X30]:~(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X30)))=s(t_h4s_nums_num,h4s_nums_0)),file('i/f/patricia/ptree__distinct_c0', ah4s_nums_NOTu_u_SUC)).
fof(45, axiom,![X1]:s(t_fun(t_h4s_nums_num,t_fun(X1,t_h4s_patricias_ptree(X1))),h4s_patricias_leaf)=s(t_fun(t_h4s_nums_num,t_fun(X1,t_h4s_patricias_ptree(X1))),h4s_patricias_u_20u_40indu_u_typepatricia1),file('i/f/patricia/ptree__distinct_c0', ah4s_patricias_Leaf0)).
fof(48, axiom,![X11]:![X1]:![X34]:![X35]:![X6]:![X2]:![X3]:s(X11,h4s_patricias_ptreeu_u_case(s(t_h4s_patricias_ptree(X1),happ(s(t_fun(X1,t_h4s_patricias_ptree(X1)),happ(s(t_fun(t_h4s_nums_num,t_fun(X1,t_h4s_patricias_ptree(X1))),h4s_patricias_leaf),s(t_h4s_nums_num,X3))),s(X1,X2))),s(X11,X34),s(t_fun(t_h4s_nums_num,t_fun(X1,X11)),X6),s(t_fun(t_h4s_nums_num,t_fun(t_h4s_nums_num,t_fun(t_h4s_patricias_ptree(X1),t_fun(t_h4s_patricias_ptree(X1),X11)))),X35)))=s(X11,happ(s(t_fun(X1,X11),happ(s(t_fun(t_h4s_nums_num,t_fun(X1,X11)),X6),s(t_h4s_nums_num,X3))),s(X1,X2))),file('i/f/patricia/ptree__distinct_c0', ah4s_patricias_ptreeu_u_caseu_u_defu_c1)).
fof(50, axiom,![X1]:s(t_h4s_patricias_ptree(X1),h4s_patricias_empty)=s(t_h4s_patricias_ptree(X1),h4s_patricias_u_20u_40indu_u_typepatricia0),file('i/f/patricia/ptree__distinct_c0', ah4s_patricias_Empty0)).
fof(52, axiom,![X1]:![X11]:![X34]:![X35]:![X6]:s(X11,h4s_patricias_ptreeu_u_case(s(t_h4s_patricias_ptree(X1),h4s_patricias_empty),s(X11,X34),s(t_fun(t_h4s_nums_num,t_fun(X1,X11)),X6),s(t_fun(t_h4s_nums_num,t_fun(t_h4s_nums_num,t_fun(t_h4s_patricias_ptree(X1),t_fun(t_h4s_patricias_ptree(X1),X11)))),X35)))=s(X11,X34),file('i/f/patricia/ptree__distinct_c0', ah4s_patricias_ptreeu_u_caseu_u_defu_c0)).
# SZS output end CNFRefutation
