# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:s(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),h4s_polys_poly(s(t_h4s_lists_list(t_h4s_realaxs_real),h4s_polys_polyu_u_add(s(t_h4s_lists_list(t_h4s_realaxs_real),X1),s(t_h4s_lists_list(t_h4s_realaxs_real),h4s_lists_nil)))))=s(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),h4s_polys_poly(s(t_h4s_lists_list(t_h4s_realaxs_real),X1))),file('i/f/poly/POLY__ADD__RZERO', ch4s_polys_POLYu_u_ADDu_u_RZERO)).
fof(3, axiom,![X2]:![X3]:![X4]:![X5]:(![X6]:s(X3,happ(s(t_fun(X2,X3),X4),s(X2,X6)))=s(X3,happ(s(t_fun(X2,X3),X5),s(X2,X6)))=>s(t_fun(X2,X3),X4)=s(t_fun(X2,X3),X5)),file('i/f/poly/POLY__ADD__RZERO', aHLu_EXT)).
fof(9, axiom,![X6]:s(t_h4s_realaxs_real,happ(s(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),h4s_polys_poly(s(t_h4s_lists_list(t_h4s_realaxs_real),h4s_lists_nil))),s(t_h4s_realaxs_real,X6)))=s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),file('i/f/poly/POLY__ADD__RZERO', ah4s_polys_polyu_u_defu_c0)).
fof(10, axiom,![X6]:![X12]:![X13]:s(t_h4s_realaxs_real,happ(s(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),h4s_polys_poly(s(t_h4s_lists_list(t_h4s_realaxs_real),h4s_polys_polyu_u_add(s(t_h4s_lists_list(t_h4s_realaxs_real),X13),s(t_h4s_lists_list(t_h4s_realaxs_real),X12))))),s(t_h4s_realaxs_real,X6)))=s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,happ(s(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),h4s_polys_poly(s(t_h4s_lists_list(t_h4s_realaxs_real),X13))),s(t_h4s_realaxs_real,X6))),s(t_h4s_realaxs_real,happ(s(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),h4s_polys_poly(s(t_h4s_lists_list(t_h4s_realaxs_real),X12))),s(t_h4s_realaxs_real,X6))))),file('i/f/poly/POLY__ADD__RZERO', ah4s_polys_POLYu_u_ADD)).
fof(11, axiom,![X6]:s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0)))))=s(t_h4s_realaxs_real,X6),file('i/f/poly/POLY__ADD__RZERO', ah4s_reals_REALu_u_ADDu_u_RID)).
# SZS output end CNFRefutation
