# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:(p(s(t_bool,h4s_predu_u_sets_finite(s(t_fun(t_h4s_nums_num,t_bool),X1))))=>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),h4s_patricias_ptreeu_u_ofu_u_numset(s(t_h4s_patricias_ptree(t_h4s_ones_one),h4s_patricias_empty),s(t_fun(t_h4s_nums_num,t_bool),X1)))))=s(t_fun(t_h4s_nums_num,t_bool),X1)),file('i/f/patricia/NUMSET__OF__PTREE__PTREE__OF__NUMSET__EMPTY', ch4s_patricias_NUMSETu_u_OFu_u_PTREEu_u_PTREEu_u_OFu_u_NUMSETu_u_EMPTY)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/patricia/NUMSET__OF__PTREE__PTREE__OF__NUMSET__EMPTY', aHLu_TRUTH)).
fof(5, axiom,![X2]:(s(t_bool,X2)=s(t_bool,t)<=>p(s(t_bool,X2))),file('i/f/patricia/NUMSET__OF__PTREE__PTREE__OF__NUMSET__EMPTY', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(9, axiom,![X3]:![X1]:s(t_fun(X3,t_bool),h4s_predu_u_sets_union(s(t_fun(X3,t_bool),h4s_predu_u_sets_empty),s(t_fun(X3,t_bool),X1)))=s(t_fun(X3,t_bool),X1),file('i/f/patricia/NUMSET__OF__PTREE__PTREE__OF__NUMSET__EMPTY', ah4s_predu_u_sets_UNIONu_u_EMPTYu_c0)).
fof(10, axiom,![X2]:![X1]:((p(s(t_bool,h4s_patricias_isu_u_ptree(s(t_h4s_patricias_ptree(t_h4s_ones_one),X2))))&p(s(t_bool,h4s_predu_u_sets_finite(s(t_fun(t_h4s_nums_num,t_bool),X1)))))=>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),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),X1)))))=s(t_fun(t_h4s_nums_num,t_bool),h4s_predu_u_sets_union(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),X2))),s(t_fun(t_h4s_nums_num,t_bool),X1)))),file('i/f/patricia/NUMSET__OF__PTREE__PTREE__OF__NUMSET__EMPTY', ah4s_patricias_NUMSETu_u_OFu_u_PTREEu_u_PTREEu_u_OFu_u_NUMSET)).
fof(11, axiom,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),h4s_patricias_empty)))=s(t_fun(t_h4s_nums_num,t_bool),h4s_predu_u_sets_empty),file('i/f/patricia/NUMSET__OF__PTREE__PTREE__OF__NUMSET__EMPTY', ah4s_patricias_NUMSETu_u_OFu_u_PTREEu_u_EMPTY)).
fof(12, axiom,![X3]:p(s(t_bool,h4s_patricias_isu_u_ptree(s(t_h4s_patricias_ptree(X3),h4s_patricias_empty)))),file('i/f/patricia/NUMSET__OF__PTREE__PTREE__OF__NUMSET__EMPTY', ah4s_patricias_EMPTYu_u_ISu_u_PTREE)).
# SZS output end CNFRefutation
