# 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(t_h4s_ones_one),X2))))=>p(s(t_bool,h4s_patricias_isu_u_ptree(s(t_h4s_patricias_ptree(t_h4s_ones_one),h4s_patricias_insertu_u_ptree(s(t_h4s_nums_num,X1),s(t_h4s_patricias_ptree(t_h4s_ones_one),X2))))))),file('i/f/patricia/INSERT__PTREE__IS__PTREE', ch4s_patricias_INSERTu_u_PTREEu_u_ISu_u_PTREE)).
fof(2, axiom,p(s(t_bool,t0)),file('i/f/patricia/INSERT__PTREE__IS__PTREE', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/patricia/INSERT__PTREE__IS__PTREE', aHLu_FALSITY)).
fof(6, axiom,![X2]:(s(t_bool,X2)=s(t_bool,t0)<=>p(s(t_bool,X2))),file('i/f/patricia/INSERT__PTREE__IS__PTREE', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(9, axiom,![X9]:![X1]:![X2]:(p(s(t_bool,h4s_patricias_isu_u_ptree(s(t_h4s_patricias_ptree(X9),X2))))=>p(s(t_bool,h4s_patricias_isu_u_ptree(s(t_h4s_patricias_ptree(X9),h4s_patricias_add(s(t_h4s_patricias_ptree(X9),X2),s(t_h4s_pairs_prod(t_h4s_nums_num,X9),X1))))))),file('i/f/patricia/INSERT__PTREE__IS__PTREE', ah4s_patricias_ADDu_u_ISu_u_PTREE)).
fof(11, axiom,![X2]:![X10]:s(t_h4s_patricias_ptree(t_h4s_ones_one),h4s_patricias_insertu_u_ptree(s(t_h4s_nums_num,X10),s(t_h4s_patricias_ptree(t_h4s_ones_one),X2)))=s(t_h4s_patricias_ptree(t_h4s_ones_one),h4s_patricias_add(s(t_h4s_patricias_ptree(t_h4s_ones_one),X2),s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_ones_one),h4s_pairs_u_2c(s(t_h4s_nums_num,X10),s(t_h4s_ones_one,h4s_ones_one0))))),file('i/f/patricia/INSERT__PTREE__IS__PTREE', ah4s_patricias_INSERTu_u_PTREEu_u_def)).
fof(12, axiom,![X2]:(s(t_bool,X2)=s(t_bool,t0)|s(t_bool,X2)=s(t_bool,f)),file('i/f/patricia/INSERT__PTREE__IS__PTREE', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
