# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:s(t_h4s_lists_list(t_h4s_realaxs_real),h4s_polys_diff(s(t_h4s_lists_list(t_h4s_realaxs_real),h4s_lists_cons(s(t_h4s_realaxs_real,X1),s(t_h4s_lists_list(t_h4s_realaxs_real),h4s_lists_nil)))))=s(t_h4s_lists_list(t_h4s_realaxs_real),h4s_lists_nil),file('i/f/poly/POLY__DIFF__CLAUSES_c1', ch4s_polys_POLYu_u_DIFFu_u_CLAUSESu_c1)).
fof(4, axiom,![X2]:(s(t_bool,X2)=s(t_bool,t)|s(t_bool,X2)=s(t_bool,f)),file('i/f/poly/POLY__DIFF__CLAUSES_c1', aHLu_BOOLu_CASES)).
fof(11, axiom,![X9]:s(t_h4s_lists_list(t_h4s_realaxs_real),h4s_polys_polyu_u_diffu_u_aux(s(t_h4s_nums_num,X9),s(t_h4s_lists_list(t_h4s_realaxs_real),h4s_lists_nil)))=s(t_h4s_lists_list(t_h4s_realaxs_real),h4s_lists_nil),file('i/f/poly/POLY__DIFF__CLAUSES_c1', ah4s_polys_polyu_u_diffu_u_auxu_u_defu_c0)).
fof(12, axiom,![X10]:?[X11]:((p(s(t_bool,X11))<=>s(t_h4s_lists_list(t_h4s_realaxs_real),X10)=s(t_h4s_lists_list(t_h4s_realaxs_real),h4s_lists_nil))&s(t_h4s_lists_list(t_h4s_realaxs_real),h4s_polys_diff(s(t_h4s_lists_list(t_h4s_realaxs_real),X10)))=s(t_h4s_lists_list(t_h4s_realaxs_real),h4s_bools_cond(s(t_bool,X11),s(t_h4s_lists_list(t_h4s_realaxs_real),h4s_lists_nil),s(t_h4s_lists_list(t_h4s_realaxs_real),h4s_polys_polyu_u_diffu_u_aux(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))),s(t_h4s_lists_list(t_h4s_realaxs_real),h4s_lists_tl(s(t_h4s_lists_list(t_h4s_realaxs_real),X10)))))))),file('i/f/poly/POLY__DIFF__CLAUSES_c1', ah4s_polys_polyu_u_diffu_u_def)).
fof(13, axiom,![X5]:![X2]:![X12]:s(t_h4s_lists_list(X5),h4s_lists_tl(s(t_h4s_lists_list(X5),h4s_lists_cons(s(X5,X12),s(t_h4s_lists_list(X5),X2)))))=s(t_h4s_lists_list(X5),X2),file('i/f/poly/POLY__DIFF__CLAUSES_c1', ah4s_lists_TL0)).
fof(14, axiom,![X5]:![X3]:![X4]:s(X5,h4s_bools_cond(s(t_bool,t),s(X5,X4),s(X5,X3)))=s(X5,X4),file('i/f/poly/POLY__DIFF__CLAUSES_c1', ah4s_bools_CONDu_u_CLAUSESu_c0)).
fof(15, axiom,![X5]:![X3]:![X4]:s(X5,h4s_bools_cond(s(t_bool,f),s(X5,X4),s(X5,X3)))=s(X5,X3),file('i/f/poly/POLY__DIFF__CLAUSES_c1', ah4s_bools_CONDu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
