# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_wordu_u_mul(s(t_h4s_fcps_cart(t_bool,X1),X4),s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_wordu_u_mul(s(t_h4s_fcps_cart(t_bool,X1),X3),s(t_h4s_fcps_cart(t_bool,X1),X2)))))=s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_wordu_u_mul(s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_wordu_u_mul(s(t_h4s_fcps_cart(t_bool,X1),X4),s(t_h4s_fcps_cart(t_bool,X1),X3))),s(t_h4s_fcps_cart(t_bool,X1),X2))),file('i/f/words/WORD__MULT__ASSOC', ch4s_wordss_WORDu_u_MULTu_u_ASSOC)).
fof(6, axiom,![X1]:![X12]:![X13]:s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_wordu_u_mul(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,X12)))))=s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_n2w(s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X13),s(t_h4s_nums_num,X12))))),file('i/f/words/WORD__MULT__ASSOC', ah4s_wordss_wordu_u_mulu_u_n2w)).
fof(11, axiom,![X1]:![X3]:?[X12]:(s(t_h4s_fcps_cart(t_bool,X1),X3)=s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_n2w(s(t_h4s_nums_num,X12)))&p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X12),s(t_h4s_nums_num,h4s_wordss_dimword(s(t_h4s_bools_itself(X1),h4s_bools_theu_u_value))))))),file('i/f/words/WORD__MULT__ASSOC', ah4s_wordss_rangedu_u_wordu_u_nchotomy)).
fof(12, axiom,![X14]:![X12]:![X13]:s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X13),s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X12),s(t_h4s_nums_num,X14)))))=s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X13),s(t_h4s_nums_num,X12))),s(t_h4s_nums_num,X14))),file('i/f/words/WORD__MULT__ASSOC', ah4s_arithmetics_MULTu_u_ASSOC)).
# SZS output end CNFRefutation
