# 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_add(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),X2))),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),h4s_lists_cons(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,X4),s(t_h4s_realaxs_real,X3))),s(t_h4s_lists_list(t_h4s_realaxs_real),h4s_polys_polyu_u_add(s(t_h4s_lists_list(t_h4s_realaxs_real),X2),s(t_h4s_lists_list(t_h4s_realaxs_real),X1))))),file('i/f/poly/POLY__ADD__CLAUSES_c2', ch4s_polys_POLYu_u_ADDu_u_CLAUSESu_c2)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/poly/POLY__ADD__CLAUSES_c2', aHLu_FALSITY)).
fof(6, axiom,![X1]:![X2]:((p(s(t_bool,X2))=>p(s(t_bool,X1)))=>((p(s(t_bool,X1))=>p(s(t_bool,X2)))=>s(t_bool,X2)=s(t_bool,X1))),file('i/f/poly/POLY__ADD__CLAUSES_c2', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(11, axiom,![X6]:![X8]:![X9]:~(s(t_h4s_lists_list(X6),h4s_lists_cons(s(X6,X9),s(t_h4s_lists_list(X6),X8)))=s(t_h4s_lists_list(X6),h4s_lists_nil)),file('i/f/poly/POLY__ADD__CLAUSES_c2', ah4s_lists_NOTu_u_CONSu_u_NIL)).
fof(12, axiom,![X6]:![X5]:![X10]:s(X6,h4s_lists_hd(s(t_h4s_lists_list(X6),h4s_lists_cons(s(X6,X10),s(t_h4s_lists_list(X6),X5)))))=s(X6,X10),file('i/f/poly/POLY__ADD__CLAUSES_c2', ah4s_lists_HD0)).
fof(13, axiom,![X6]:![X5]:![X10]:s(t_h4s_lists_list(X6),h4s_lists_tl(s(t_h4s_lists_list(X6),h4s_lists_cons(s(X6,X10),s(t_h4s_lists_list(X6),X5)))))=s(t_h4s_lists_list(X6),X5),file('i/f/poly/POLY__ADD__CLAUSES_c2', ah4s_lists_TL0)).
fof(15, axiom,![X5]:![X13]:![X10]:?[X14]:((p(s(t_bool,X14))<=>s(t_h4s_lists_list(t_h4s_realaxs_real),X13)=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_add(s(t_h4s_lists_list(t_h4s_realaxs_real),h4s_lists_cons(s(t_h4s_realaxs_real,X10),s(t_h4s_lists_list(t_h4s_realaxs_real),X5))),s(t_h4s_lists_list(t_h4s_realaxs_real),X13)))=s(t_h4s_lists_list(t_h4s_realaxs_real),h4s_bools_cond(s(t_bool,X14),s(t_h4s_lists_list(t_h4s_realaxs_real),h4s_lists_cons(s(t_h4s_realaxs_real,X10),s(t_h4s_lists_list(t_h4s_realaxs_real),X5))),s(t_h4s_lists_list(t_h4s_realaxs_real),h4s_lists_cons(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,X10),s(t_h4s_realaxs_real,h4s_lists_hd(s(t_h4s_lists_list(t_h4s_realaxs_real),X13))))),s(t_h4s_lists_list(t_h4s_realaxs_real),h4s_polys_polyu_u_add(s(t_h4s_lists_list(t_h4s_realaxs_real),X5),s(t_h4s_lists_list(t_h4s_realaxs_real),h4s_lists_tl(s(t_h4s_lists_list(t_h4s_realaxs_real),X13)))))))))),file('i/f/poly/POLY__ADD__CLAUSES_c2', ah4s_polys_polyu_u_addu_u_defu_c1)).
fof(18, axiom,![X6]:![X1]:![X2]:s(X6,h4s_bools_cond(s(t_bool,f),s(X6,X2),s(X6,X1)))=s(X6,X1),file('i/f/poly/POLY__ADD__CLAUSES_c2', ah4s_bools_CONDu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
