# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(s(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),h4s_polys_poly(s(t_h4s_lists_list(t_h4s_realaxs_real),X2)))=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)))=>p(s(t_bool,h4s_polys_polyu_u_divides(s(t_h4s_lists_list(t_h4s_realaxs_real),X1),s(t_h4s_lists_list(t_h4s_realaxs_real),X2))))),file('i/f/poly/POLY__DIVIDES__ZERO', ch4s_polys_POLYu_u_DIVIDESu_u_ZERO)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/poly/POLY__DIVIDES__ZERO', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/poly/POLY__DIVIDES__ZERO', aHLu_FALSITY)).
fof(8, axiom,![X8]:![X9]:(p(s(t_bool,h4s_polys_polyu_u_divides(s(t_h4s_lists_list(t_h4s_realaxs_real),X9),s(t_h4s_lists_list(t_h4s_realaxs_real),X8))))<=>?[X1]:s(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),h4s_polys_poly(s(t_h4s_lists_list(t_h4s_realaxs_real),X8)))=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_mul(s(t_h4s_lists_list(t_h4s_realaxs_real),X9),s(t_h4s_lists_list(t_h4s_realaxs_real),X1)))))),file('i/f/poly/POLY__DIVIDES__ZERO', ah4s_polys_polyu_u_divides0)).
fof(9, axiom,![X10]:![X11]:![X12]:![X13]:(![X7]:s(X11,happ(s(t_fun(X10,X11),X12),s(X10,X7)))=s(X11,happ(s(t_fun(X10,X11),X13),s(X10,X7)))=>s(t_fun(X10,X11),X12)=s(t_fun(X10,X11),X13)),file('i/f/poly/POLY__DIVIDES__ZERO', aHLu_EXT)).
fof(11, axiom,![X7]: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,X7)))=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__DIVIDES__ZERO', ah4s_polys_polyu_u_defu_c0)).
fof(12, axiom,![X7]:![X8]:![X9]: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_mul(s(t_h4s_lists_list(t_h4s_realaxs_real),X9),s(t_h4s_lists_list(t_h4s_realaxs_real),X8))))),s(t_h4s_realaxs_real,X7)))=s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(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),X9))),s(t_h4s_realaxs_real,X7))),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),X8))),s(t_h4s_realaxs_real,X7))))),file('i/f/poly/POLY__DIVIDES__ZERO', ah4s_polys_POLYu_u_MUL)).
fof(13, axiom,![X7]:s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,X7),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,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),file('i/f/poly/POLY__DIVIDES__ZERO', ah4s_reals_REALu_u_MULu_u_RZERO)).
fof(14, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)|s(t_bool,X6)=s(t_bool,f)),file('i/f/poly/POLY__DIVIDES__ZERO', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
