# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_wordu_u_add(s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_n2w(s(t_h4s_nums_num,h4s_nums_0))),s(t_h4s_fcps_cart(t_bool,X1),X2)))=s(t_h4s_fcps_cart(t_bool,X1),X2),file('i/f/words/WORD__ADD__0_c1', ch4s_wordss_WORDu_u_ADDu_u_0u_c1)).
fof(11, axiom,![X1]:![X2]:?[X13]:(s(t_h4s_fcps_cart(t_bool,X1),X2)=s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_n2w(s(t_h4s_nums_num,X13)))&p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X13),s(t_h4s_nums_num,h4s_wordss_dimword(s(t_h4s_bools_itself(X1),h4s_bools_theu_u_value))))))),file('i/f/words/WORD__ADD__0_c1', ah4s_wordss_rangedu_u_wordu_u_nchotomy)).
fof(12, axiom,![X1]:![X13]:![X14]:s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_wordu_u_add(s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_n2w(s(t_h4s_nums_num,X14))),s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_n2w(s(t_h4s_nums_num,X13)))))=s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_n2w(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X14),s(t_h4s_nums_num,X13))))),file('i/f/words/WORD__ADD__0_c1', ah4s_wordss_wordu_u_addu_u_n2w)).
fof(13, axiom,![X14]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X14),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,X14),file('i/f/words/WORD__ADD__0_c1', ah4s_arithmetics_ADDu_u_0)).
fof(14, axiom,![X13]:![X14]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X14),s(t_h4s_nums_num,X13)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X13),s(t_h4s_nums_num,X14))),file('i/f/words/WORD__ADD__0_c1', ah4s_arithmetics_ADDu_u_SYM)).
# SZS output end CNFRefutation
