# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:(s(t_h4s_patricias_ptree(X1),h4s_patricias_transform(s(t_fun(X2,X1),X4),s(t_h4s_patricias_ptree(X2),X3)))=s(t_h4s_patricias_ptree(X1),h4s_patricias_empty)<=>s(t_h4s_patricias_ptree(X2),X3)=s(t_h4s_patricias_ptree(X2),h4s_patricias_empty)),file('i/f/patricia/TRANSFORM__EMPTY', ch4s_patricias_TRANSFORMu_u_EMPTY)).
fof(3, axiom,![X2]:![X1]:![X7]:![X8]:![X9]:![X10]:![X4]:s(t_h4s_patricias_ptree(X2),h4s_patricias_transform(s(t_fun(X1,X2),X4),s(t_h4s_patricias_ptree(X1),happ(s(t_fun(t_h4s_patricias_ptree(X1),t_h4s_patricias_ptree(X1)),happ(s(t_fun(t_h4s_patricias_ptree(X1),t_fun(t_h4s_patricias_ptree(X1),t_h4s_patricias_ptree(X1))),happ(s(t_fun(t_h4s_nums_num,t_fun(t_h4s_patricias_ptree(X1),t_fun(t_h4s_patricias_ptree(X1),t_h4s_patricias_ptree(X1)))),happ(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),t_h4s_patricias_ptree(X1))))),h4s_patricias_branch),s(t_h4s_nums_num,X8))),s(t_h4s_nums_num,X9))),s(t_h4s_patricias_ptree(X1),X10))),s(t_h4s_patricias_ptree(X1),X7)))))=s(t_h4s_patricias_ptree(X2),happ(s(t_fun(t_h4s_patricias_ptree(X2),t_h4s_patricias_ptree(X2)),happ(s(t_fun(t_h4s_patricias_ptree(X2),t_fun(t_h4s_patricias_ptree(X2),t_h4s_patricias_ptree(X2))),happ(s(t_fun(t_h4s_nums_num,t_fun(t_h4s_patricias_ptree(X2),t_fun(t_h4s_patricias_ptree(X2),t_h4s_patricias_ptree(X2)))),happ(s(t_fun(t_h4s_nums_num,t_fun(t_h4s_nums_num,t_fun(t_h4s_patricias_ptree(X2),t_fun(t_h4s_patricias_ptree(X2),t_h4s_patricias_ptree(X2))))),h4s_patricias_branch),s(t_h4s_nums_num,X8))),s(t_h4s_nums_num,X9))),s(t_h4s_patricias_ptree(X2),h4s_patricias_transform(s(t_fun(X1,X2),X4),s(t_h4s_patricias_ptree(X1),X10))))),s(t_h4s_patricias_ptree(X2),h4s_patricias_transform(s(t_fun(X1,X2),X4),s(t_h4s_patricias_ptree(X1),X7))))),file('i/f/patricia/TRANSFORM__EMPTY', ah4s_patricias_TRANSFORMu_u_defu_c2)).
fof(5, axiom,![X1]:![X2]:![X4]:s(t_h4s_patricias_ptree(X2),h4s_patricias_transform(s(t_fun(X1,X2),X4),s(t_h4s_patricias_ptree(X1),h4s_patricias_empty)))=s(t_h4s_patricias_ptree(X2),h4s_patricias_empty),file('i/f/patricia/TRANSFORM__EMPTY', ah4s_patricias_TRANSFORMu_u_defu_c0)).
fof(6, axiom,![X2]:![X1]:![X15]:![X4]:![X14]:s(t_h4s_patricias_ptree(X2),h4s_patricias_transform(s(t_fun(X1,X2),X4),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,X15))),s(X1,X14)))))=s(t_h4s_patricias_ptree(X2),happ(s(t_fun(X2,t_h4s_patricias_ptree(X2)),happ(s(t_fun(t_h4s_nums_num,t_fun(X2,t_h4s_patricias_ptree(X2))),h4s_patricias_leaf),s(t_h4s_nums_num,X15))),s(X2,happ(s(t_fun(X1,X2),X4),s(X1,X14))))),file('i/f/patricia/TRANSFORM__EMPTY', ah4s_patricias_TRANSFORMu_u_defu_c1)).
fof(12, axiom,![X2]:![X27]:(s(t_h4s_patricias_ptree(X2),X27)=s(t_h4s_patricias_ptree(X2),h4s_patricias_empty)|(?[X28]:?[X29]:s(t_h4s_patricias_ptree(X2),X27)=s(t_h4s_patricias_ptree(X2),happ(s(t_fun(X2,t_h4s_patricias_ptree(X2)),happ(s(t_fun(t_h4s_nums_num,t_fun(X2,t_h4s_patricias_ptree(X2))),h4s_patricias_leaf),s(t_h4s_nums_num,X28))),s(X2,X29)))|?[X30]:?[X28]:?[X8]:?[X31]:s(t_h4s_patricias_ptree(X2),X27)=s(t_h4s_patricias_ptree(X2),happ(s(t_fun(t_h4s_patricias_ptree(X2),t_h4s_patricias_ptree(X2)),happ(s(t_fun(t_h4s_patricias_ptree(X2),t_fun(t_h4s_patricias_ptree(X2),t_h4s_patricias_ptree(X2))),happ(s(t_fun(t_h4s_nums_num,t_fun(t_h4s_patricias_ptree(X2),t_fun(t_h4s_patricias_ptree(X2),t_h4s_patricias_ptree(X2)))),happ(s(t_fun(t_h4s_nums_num,t_fun(t_h4s_nums_num,t_fun(t_h4s_patricias_ptree(X2),t_fun(t_h4s_patricias_ptree(X2),t_h4s_patricias_ptree(X2))))),h4s_patricias_branch),s(t_h4s_nums_num,X30))),s(t_h4s_nums_num,X28))),s(t_h4s_patricias_ptree(X2),X8))),s(t_h4s_patricias_ptree(X2),X31))))),file('i/f/patricia/TRANSFORM__EMPTY', ah4s_patricias_ptreeu_u_nchotomy)).
fof(13, axiom,![X2]:![X26]:![X25]:![X24]:![X23]:~(s(t_h4s_patricias_ptree(X2),h4s_patricias_empty)=s(t_h4s_patricias_ptree(X2),happ(s(t_fun(t_h4s_patricias_ptree(X2),t_h4s_patricias_ptree(X2)),happ(s(t_fun(t_h4s_patricias_ptree(X2),t_fun(t_h4s_patricias_ptree(X2),t_h4s_patricias_ptree(X2))),happ(s(t_fun(t_h4s_nums_num,t_fun(t_h4s_patricias_ptree(X2),t_fun(t_h4s_patricias_ptree(X2),t_h4s_patricias_ptree(X2)))),happ(s(t_fun(t_h4s_nums_num,t_fun(t_h4s_nums_num,t_fun(t_h4s_patricias_ptree(X2),t_fun(t_h4s_patricias_ptree(X2),t_h4s_patricias_ptree(X2))))),h4s_patricias_branch),s(t_h4s_nums_num,X23))),s(t_h4s_nums_num,X24))),s(t_h4s_patricias_ptree(X2),X25))),s(t_h4s_patricias_ptree(X2),X26)))),file('i/f/patricia/TRANSFORM__EMPTY', ah4s_patricias_ptreeu_u_distinctu_c1)).
fof(38, axiom,![X2]:![X24]:![X23]:~(s(t_h4s_patricias_ptree(X2),h4s_patricias_empty)=s(t_h4s_patricias_ptree(X2),happ(s(t_fun(X2,t_h4s_patricias_ptree(X2)),happ(s(t_fun(t_h4s_nums_num,t_fun(X2,t_h4s_patricias_ptree(X2))),h4s_patricias_leaf),s(t_h4s_nums_num,X23))),s(X2,X24)))),file('i/f/patricia/TRANSFORM__EMPTY', ah4s_patricias_ptreeu_u_distinctu_c0)).
# SZS output end CNFRefutation
