# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]: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,X4),s(t_h4s_lists_list(t_h4s_realaxs_real),h4s_lists_cons(s(t_h4s_realaxs_real,X3),s(t_h4s_lists_list(t_h4s_realaxs_real),X1))))),s(t_h4s_lists_list(t_h4s_realaxs_real),X2)))=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,X4),s(t_h4s_lists_list(t_h4s_realaxs_real),X2))),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),h4s_lists_cons(s(t_h4s_realaxs_real,X3),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__MUL__CLAUSES_c2', ch4s_polys_POLYu_u_MULu_u_CLAUSESu_c2)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/poly/POLY__MUL__CLAUSES_c2', aHLu_TRUTH)).
fof(4, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)|s(t_bool,X5)=s(t_bool,f)),file('i/f/poly/POLY__MUL__CLAUSES_c2', aHLu_BOOLu_CASES)).
fof(11, axiom,![X7]:![X6]:![X1]:s(X7,h4s_bools_cond(s(t_bool,f),s(X7,X1),s(X7,X6)))=s(X7,X6),file('i/f/poly/POLY__MUL__CLAUSES_c2', ah4s_bools_CONDu_u_CLAUSESu_c1)).
fof(12, axiom,![X7]:![X9]:![X10]:~(s(t_h4s_lists_list(X7),h4s_lists_cons(s(X7,X10),s(t_h4s_lists_list(X7),X9)))=s(t_h4s_lists_list(X7),h4s_lists_nil)),file('i/f/poly/POLY__MUL__CLAUSES_c2', ah4s_lists_NOTu_u_CONSu_u_NIL)).
fof(14, axiom,![X5]:![X11]:![X12]:?[X13]:((p(s(t_bool,X13))<=>s(t_h4s_lists_list(t_h4s_realaxs_real),X5)=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,X12),s(t_h4s_lists_list(t_h4s_realaxs_real),X5))),s(t_h4s_lists_list(t_h4s_realaxs_real),X11)))=s(t_h4s_lists_list(t_h4s_realaxs_real),h4s_bools_cond(s(t_bool,X13),s(t_h4s_lists_list(t_h4s_realaxs_real),h4s_polys_u_23u_23(s(t_h4s_realaxs_real,X12),s(t_h4s_lists_list(t_h4s_realaxs_real),X11))),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,X12),s(t_h4s_lists_list(t_h4s_realaxs_real),X11))),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),X5),s(t_h4s_lists_list(t_h4s_realaxs_real),X11)))))))))),file('i/f/poly/POLY__MUL__CLAUSES_c2', ah4s_polys_polyu_u_mulu_u_defu_c1)).
# SZS output end CNFRefutation
