# 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),happ(s(t_fun(t_h4s_lists_list(t_h4s_realaxs_real),t_h4s_lists_list(t_h4s_realaxs_real)),happ(s(t_fun(t_h4s_realaxs_real,t_fun(t_h4s_lists_list(t_h4s_realaxs_real),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(7, axiom,![X14]:?[X15]:((p(s(t_bool,X15))<=>s(t_h4s_lists_list(t_h4s_realaxs_real),X14)=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),X14)))=s(t_h4s_lists_list(t_h4s_realaxs_real),h4s_bools_cond(s(t_bool,X15),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),X14)))))))),file('i/f/poly/POLY__DIFF__CLAUSES_c1', ah4s_polys_polyu_u_diffu_u_def)).
fof(8, axiom,s(t_h4s_lists_list(t_h4s_realaxs_real),h4s_polys_diff(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_CLAUSESu_c0)).
fof(16, axiom,![X23]:![X24]:((p(s(t_bool,X24))=>p(s(t_bool,X23)))=>((p(s(t_bool,X23))=>p(s(t_bool,X24)))=>s(t_bool,X24)=s(t_bool,X23))),file('i/f/poly/POLY__DIFF__CLAUSES_c1', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(42, axiom,![X2]:![X23]:![X24]:s(X2,h4s_bools_cond(s(t_bool,f),s(X2,X24),s(X2,X23)))=s(X2,X23),file('i/f/poly/POLY__DIFF__CLAUSES_c1', ah4s_bools_CONDu_u_CLAUSESu_c1)).
fof(43, axiom,![X2]:![X23]:![X24]:s(X2,h4s_bools_cond(s(t_bool,t),s(X2,X24),s(X2,X23)))=s(X2,X24),file('i/f/poly/POLY__DIFF__CLAUSES_c1', ah4s_bools_CONDu_u_CLAUSESu_c0)).
fof(47, axiom,![X23]:![X24]:![X37]:(p(s(t_bool,h4s_bools_cond(s(t_bool,X37),s(t_bool,X24),s(t_bool,X23))))<=>((~(p(s(t_bool,X37)))|p(s(t_bool,X24)))&(p(s(t_bool,X37))|p(s(t_bool,X23))))),file('i/f/poly/POLY__DIFF__CLAUSES_c1', ah4s_bools_CONDu_u_EXPAND)).
fof(50, axiom,![X38]:s(t_h4s_lists_list(t_h4s_realaxs_real),h4s_polys_polyu_u_diffu_u_aux(s(t_h4s_nums_num,X38),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(51, axiom,![X2]:![X12]:![X13]:s(t_h4s_lists_list(X2),h4s_lists_tl(s(t_h4s_lists_list(X2),happ(s(t_fun(t_h4s_lists_list(X2),t_h4s_lists_list(X2)),happ(s(t_fun(X2,t_fun(t_h4s_lists_list(X2),t_h4s_lists_list(X2))),h4s_lists_cons),s(X2,X13))),s(t_h4s_lists_list(X2),X12)))))=s(t_h4s_lists_list(X2),X12),file('i/f/poly/POLY__DIFF__CLAUSES_c1', ah4s_lists_TL0)).
fof(52, axiom,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_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_nums_0))),file('i/f/poly/POLY__DIFF__CLAUSES_c1', ah4s_arithmetics_ONE)).
# SZS output end CNFRefutation
