# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:p(s(t_bool,h4s_patricias_isu_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)))))),file('i/f/patricia/PTREE__OF__NUMSET__IS__PTREE__EMPTY', ch4s_patricias_PTREEu_u_OFu_u_NUMSETu_u_ISu_u_PTREEu_u_EMPTY)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/patricia/PTREE__OF__NUMSET__IS__PTREE__EMPTY', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/patricia/PTREE__OF__NUMSET__IS__PTREE__EMPTY', aHLu_FALSITY)).
fof(5, axiom,![X2]:(s(t_bool,X2)=s(t_bool,t)<=>p(s(t_bool,X2))),file('i/f/patricia/PTREE__OF__NUMSET__IS__PTREE__EMPTY', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(8, axiom,![X10]:p(s(t_bool,h4s_patricias_isu_u_ptree(s(t_h4s_patricias_ptree(X10),h4s_patricias_empty)))),file('i/f/patricia/PTREE__OF__NUMSET__IS__PTREE__EMPTY', ah4s_patricias_EMPTYu_u_ISu_u_PTREE)).
fof(9, 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_patricias_isu_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))))))),file('i/f/patricia/PTREE__OF__NUMSET__IS__PTREE__EMPTY', ah4s_patricias_PTREEu_u_OFu_u_NUMSETu_u_ISu_u_PTREE)).
fof(12, axiom,![X2]:(s(t_bool,X2)=s(t_bool,t)|s(t_bool,X2)=s(t_bool,f)),file('i/f/patricia/PTREE__OF__NUMSET__IS__PTREE__EMPTY', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
