# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:s(t_h4s_lists_list(t_h4s_realaxs_real),h4s_polys_polyu_u_mul(s(t_h4s_lists_list(t_h4s_realaxs_real),h4s_lists_cons(s(t_h4s_realaxs_real,X2),s(t_h4s_lists_list(t_h4s_realaxs_real),h4s_lists_nil))),s(t_h4s_lists_list(t_h4s_realaxs_real),X1)))=s(t_h4s_lists_list(t_h4s_realaxs_real),h4s_polys_u_23u_23(s(t_h4s_realaxs_real,X2),s(t_h4s_lists_list(t_h4s_realaxs_real),X1))),file('i/f/poly/POLY__MUL__CLAUSES_c1', ch4s_polys_POLYu_u_MULu_u_CLAUSESu_c1)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/poly/POLY__MUL__CLAUSES_c1', aHLu_TRUTH)).
fof(6, axiom,![X4]:![X5]:((p(s(t_bool,X5))=>p(s(t_bool,X4)))=>((p(s(t_bool,X4))=>p(s(t_bool,X5)))=>s(t_bool,X5)=s(t_bool,X4))),file('i/f/poly/POLY__MUL__CLAUSES_c1', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(10, axiom,![X6]:![X4]:![X5]:s(X6,h4s_bools_cond(s(t_bool,t),s(X6,X5),s(X6,X4)))=s(X6,X5),file('i/f/poly/POLY__MUL__CLAUSES_c1', ah4s_bools_CONDu_u_CLAUSESu_c0)).
fof(13, axiom,![X10]:s(t_h4s_lists_list(t_h4s_realaxs_real),h4s_polys_polyu_u_mul(s(t_h4s_lists_list(t_h4s_realaxs_real),h4s_lists_nil),s(t_h4s_lists_list(t_h4s_realaxs_real),X10)))=s(t_h4s_lists_list(t_h4s_realaxs_real),h4s_lists_nil),file('i/f/poly/POLY__MUL__CLAUSES_c1', ah4s_polys_polyu_u_mulu_u_defu_c0)).
fof(14, axiom,![X3]:![X10]:![X11]:?[X12]:((p(s(t_bool,X12))<=>s(t_h4s_lists_list(t_h4s_realaxs_real),X3)=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_mul(s(t_h4s_lists_list(t_h4s_realaxs_real),h4s_lists_cons(s(t_h4s_realaxs_real,X11),s(t_h4s_lists_list(t_h4s_realaxs_real),X3))),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,X12),s(t_h4s_lists_list(t_h4s_realaxs_real),h4s_polys_u_23u_23(s(t_h4s_realaxs_real,X11),s(t_h4s_lists_list(t_h4s_realaxs_real),X10))),s(t_h4s_lists_list(t_h4s_realaxs_real),h4s_polys_polyu_u_add(s(t_h4s_lists_list(t_h4s_realaxs_real),h4s_polys_u_23u_23(s(t_h4s_realaxs_real,X11),s(t_h4s_lists_list(t_h4s_realaxs_real),X10))),s(t_h4s_lists_list(t_h4s_realaxs_real),h4s_lists_cons(s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),s(t_h4s_lists_list(t_h4s_realaxs_real),h4s_polys_polyu_u_mul(s(t_h4s_lists_list(t_h4s_realaxs_real),X3),s(t_h4s_lists_list(t_h4s_realaxs_real),X10)))))))))),file('i/f/poly/POLY__MUL__CLAUSES_c1', ah4s_polys_polyu_u_mulu_u_defu_c1)).
# SZS output end CNFRefutation
