# 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),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__COMM__EMPTY', ch4s_patricias_UNIONu_u_PTREEu_u_COMMu_u_EMPTY)).
fof(25, axiom,![X8]:![X9]:((p(s(t_bool,h4s_patricias_isu_u_ptree(s(t_h4s_patricias_ptree(t_h4s_ones_one),X9))))&p(s(t_bool,h4s_patricias_isu_u_ptree(s(t_h4s_patricias_ptree(t_h4s_ones_one),X8)))))=>s(t_h4s_patricias_ptree(t_h4s_ones_one),h4s_patricias_unionu_u_ptree(s(t_h4s_patricias_ptree(t_h4s_ones_one),X9),s(t_h4s_patricias_ptree(t_h4s_ones_one),X8)))=s(t_h4s_patricias_ptree(t_h4s_ones_one),h4s_patricias_unionu_u_ptree(s(t_h4s_patricias_ptree(t_h4s_ones_one),X8),s(t_h4s_patricias_ptree(t_h4s_ones_one),X9)))),file('i/f/patricia/UNION__PTREE__COMM__EMPTY', ah4s_patricias_UNIONu_u_PTREEu_u_COMM)).
fof(28, axiom,![X6]:p(s(t_bool,h4s_patricias_isu_u_ptree(s(t_h4s_patricias_ptree(X6),h4s_patricias_empty)))),file('i/f/patricia/UNION__PTREE__COMM__EMPTY', ah4s_patricias_EMPTYu_u_ISu_u_PTREE)).
fof(30, axiom,![X6]:s(t_h4s_patricias_ptree(X6),h4s_patricias_empty)=s(t_h4s_patricias_ptree(X6),h4s_patricias_u_20u_40indu_u_typepatricia0),file('i/f/patricia/UNION__PTREE__COMM__EMPTY', ah4s_patricias_Empty0)).
fof(42, axiom,p(s(t_bool,t0)),file('i/f/patricia/UNION__PTREE__COMM__EMPTY', aHLu_TRUTH)).
fof(43, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t0)<=>p(s(t_bool,X1))),file('i/f/patricia/UNION__PTREE__COMM__EMPTY', ah4s_bools_EQu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
