# 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(23, 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)).
fof(31, axiom,![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)))=s(t_h4s_patricias_ptree(t_h4s_ones_one),X1),file('i/f/patricia/UNION__PTREE__EMPTY_c1', ah4s_patricias_UNIONu_u_PTREEu_u_EMPTYu_c0)).
fof(40, axiom,![X9]:s(t_h4s_patricias_ptree(X9),h4s_patricias_empty)=s(t_h4s_patricias_ptree(X9),h4s_patricias_u_20u_40indu_u_typepatricia0),file('i/f/patricia/UNION__PTREE__EMPTY_c1', ah4s_patricias_Empty0)).
fof(41, axiom,p(s(t_bool,t0)),file('i/f/patricia/UNION__PTREE__EMPTY_c1', aHLu_TRUTH)).
fof(42, 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)).
# SZS output end CNFRefutation
