# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:((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),X1)))))=>(p(s(t_bool,h4s_patricias_inu_u_ptree(s(t_h4s_nums_num,X3),s(t_h4s_patricias_ptree(t_h4s_ones_one),h4s_patricias_unionu_u_ptree(s(t_h4s_patricias_ptree(t_h4s_ones_one),X2),s(t_h4s_patricias_ptree(t_h4s_ones_one),X1))))))<=>(p(s(t_bool,h4s_patricias_inu_u_ptree(s(t_h4s_nums_num,X3),s(t_h4s_patricias_ptree(t_h4s_ones_one),X2))))|p(s(t_bool,h4s_patricias_inu_u_ptree(s(t_h4s_nums_num,X3),s(t_h4s_patricias_ptree(t_h4s_ones_one),X1))))))),file('i/f/patricia/IN__PTREE__UNION__PTREE', ch4s_patricias_INu_u_PTREEu_u_UNIONu_u_PTREE)).
fof(4, axiom,![X1]:![X2]:((p(s(t_bool,X2))=>p(s(t_bool,X1)))=>((p(s(t_bool,X1))=>p(s(t_bool,X2)))=>s(t_bool,X2)=s(t_bool,X1))),file('i/f/patricia/IN__PTREE__UNION__PTREE', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(14, axiom,![X9]:![X3]:(p(s(t_bool,h4s_patricias_isu_u_ptree(s(t_h4s_patricias_ptree(t_h4s_ones_one),X9))))=>s(t_bool,h4s_bools_in(s(t_h4s_nums_num,X3),s(t_fun(t_h4s_nums_num,t_bool),h4s_patricias_numsetu_u_ofu_u_ptree(s(t_h4s_patricias_ptree(t_h4s_ones_one),X9)))))=s(t_bool,h4s_patricias_inu_u_ptree(s(t_h4s_nums_num,X3),s(t_h4s_patricias_ptree(t_h4s_ones_one),X9)))),file('i/f/patricia/IN__PTREE__UNION__PTREE', ah4s_patricias_INu_u_NUMSETu_u_OFu_u_PTREE)).
fof(15, axiom,![X9]:![X13]:![X3]:((p(s(t_bool,h4s_patricias_isu_u_ptree(s(t_h4s_patricias_ptree(t_h4s_ones_one),X9))))&p(s(t_bool,h4s_predu_u_sets_finite(s(t_fun(t_h4s_nums_num,t_bool),X13)))))=>(p(s(t_bool,h4s_patricias_inu_u_ptree(s(t_h4s_nums_num,X3),s(t_h4s_patricias_ptree(t_h4s_ones_one),h4s_patricias_ptreeu_u_ofu_u_numset(s(t_h4s_patricias_ptree(t_h4s_ones_one),X9),s(t_fun(t_h4s_nums_num,t_bool),X13))))))<=>(p(s(t_bool,h4s_patricias_inu_u_ptree(s(t_h4s_nums_num,X3),s(t_h4s_patricias_ptree(t_h4s_ones_one),X9))))|p(s(t_bool,h4s_bools_in(s(t_h4s_nums_num,X3),s(t_fun(t_h4s_nums_num,t_bool),X13))))))),file('i/f/patricia/IN__PTREE__UNION__PTREE', ah4s_patricias_INu_u_PTREEu_u_OFu_u_NUMSET)).
fof(20, axiom,![X1]:![X2]:s(t_h4s_patricias_ptree(t_h4s_ones_one),h4s_patricias_unionu_u_ptree(s(t_h4s_patricias_ptree(t_h4s_ones_one),X2),s(t_h4s_patricias_ptree(t_h4s_ones_one),X1)))=s(t_h4s_patricias_ptree(t_h4s_ones_one),h4s_patricias_ptreeu_u_ofu_u_numset(s(t_h4s_patricias_ptree(t_h4s_ones_one),X2),s(t_fun(t_h4s_nums_num,t_bool),h4s_patricias_numsetu_u_ofu_u_ptree(s(t_h4s_patricias_ptree(t_h4s_ones_one),X1))))),file('i/f/patricia/IN__PTREE__UNION__PTREE', ah4s_patricias_UNIONu_u_PTREEu_u_def)).
fof(26, axiom,![X9]:p(s(t_bool,h4s_predu_u_sets_finite(s(t_fun(t_h4s_nums_num,t_bool),h4s_patricias_numsetu_u_ofu_u_ptree(s(t_h4s_patricias_ptree(t_h4s_ones_one),X9)))))),file('i/f/patricia/IN__PTREE__UNION__PTREE', ah4s_patricias_FINITEu_u_NUMSETu_u_OFu_u_PTREE)).
# SZS output end CNFRefutation
