# 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),X1))))=>s(t_h4s_patricias_ptree(t_h4s_ones_one),h4s_patricias_unionu_u_ptree(s(t_h4s_patricias_ptree(t_h4s_ones_one),h4s_patricias_empty),s(t_h4s_patricias_ptree(t_h4s_ones_one),X1)))=s(t_h4s_patricias_ptree(t_h4s_ones_one),X1)),file('i/f/patricia/UNION__PTREE__EMPTY_c1', ch4s_patricias_UNIONu_u_PTREEu_u_EMPTYu_c1)).
fof(2, axiom,p(s(t_bool,t0)),file('i/f/patricia/UNION__PTREE__EMPTY_c1', aHLu_TRUTH)).
fof(7, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t0)<=>p(s(t_bool,X1))),file('i/f/patricia/UNION__PTREE__EMPTY_c1', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(10, axiom,![X6]:![X7]:s(t_h4s_patricias_ptree(t_h4s_ones_one),h4s_patricias_unionu_u_ptree(s(t_h4s_patricias_ptree(t_h4s_ones_one),X7),s(t_h4s_patricias_ptree(t_h4s_ones_one),X6)))=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),X7),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),X6))))),file('i/f/patricia/UNION__PTREE__EMPTY_c1', ah4s_patricias_UNIONu_u_PTREEu_u_def)).
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/UNION__PTREE__EMPTY_c1', ah4s_patricias_NUMSETu_u_OFu_u_PTREEu_u_EMPTY)).
fof(12, axiom,![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),X1),s(t_fun(t_h4s_nums_num,t_bool),h4s_predu_u_sets_empty)))=s(t_h4s_patricias_ptree(t_h4s_ones_one),X1),file('i/f/patricia/UNION__PTREE__EMPTY_c1', ah4s_patricias_PTREEu_u_OFu_u_NUMSETu_u_EMPTY)).
fof(13, axiom,![X1]:(p(s(t_bool,h4s_patricias_isu_u_ptree(s(t_h4s_patricias_ptree(t_h4s_ones_one),X1))))=>s(t_h4s_patricias_ptree(t_h4s_ones_one),h4s_patricias_unionu_u_ptree(s(t_h4s_patricias_ptree(t_h4s_ones_one),h4s_patricias_empty),s(t_h4s_patricias_ptree(t_h4s_ones_one),X1)))=s(t_h4s_patricias_ptree(t_h4s_ones_one),h4s_patricias_unionu_u_ptree(s(t_h4s_patricias_ptree(t_h4s_ones_one),X1),s(t_h4s_patricias_ptree(t_h4s_ones_one),h4s_patricias_empty)))),file('i/f/patricia/UNION__PTREE__EMPTY_c1', ah4s_patricias_UNIONu_u_PTREEu_u_COMMu_u_EMPTY)).
# SZS output end CNFRefutation
