# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:s(t_h4s_fcps_cart(t_bool,X1),happ(s(t_fun(t_h4s_fcps_cart(t_bool,X2),t_h4s_fcps_cart(t_bool,X1)),h4s_wordss_wordu_u_extract(s(t_h4s_nums_num,X5),s(t_h4s_nums_num,X4))),s(t_h4s_fcps_cart(t_bool,X2),h4s_wordss_n2w(s(t_h4s_nums_num,X3)))))=s(t_h4s_fcps_cart(t_bool,X1),h4s_bools_cond(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_fcps_dimindex(s(t_h4s_bools_itself(X1),h4s_bools_theu_u_value))),s(t_h4s_nums_num,h4s_fcps_dimindex(s(t_h4s_bools_itself(X2),h4s_bools_theu_u_value))))),s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_n2w(s(t_h4s_nums_num,h4s_bits_bits(s(t_h4s_nums_num,h4s_arithmetics_min(s(t_h4s_nums_num,X5),s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,h4s_fcps_dimindex(s(t_h4s_bools_itself(X2),h4s_bools_theu_u_value))),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,X4),s(t_h4s_nums_num,X3))))),s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_n2w(s(t_h4s_nums_num,h4s_bits_bits(s(t_h4s_nums_num,h4s_arithmetics_min(s(t_h4s_nums_num,h4s_arithmetics_min(s(t_h4s_nums_num,X5),s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,h4s_fcps_dimindex(s(t_h4s_bools_itself(X2),h4s_bools_theu_u_value))),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_arithmetics_u_2b(s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,h4s_fcps_dimindex(s(t_h4s_bools_itself(X2),h4s_bools_theu_u_value))),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,X4))))),s(t_h4s_nums_num,X4),s(t_h4s_nums_num,X3))))))),file('i/f/words/word__extract__n2w', ch4s_wordss_wordu_u_extractu_u_n2w)).
fof(6, axiom,![X3]:![X15]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X15),s(t_h4s_nums_num,X3)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X15))),file('i/f/words/word__extract__n2w', ah4s_arithmetics_ADDu_u_SYM)).
fof(8, axiom,![X1]:![X2]:![X3]:s(t_h4s_fcps_cart(t_bool,X1),happ(s(t_fun(t_h4s_fcps_cart(t_bool,X2),t_h4s_fcps_cart(t_bool,X1)),h4s_wordss_w2w),s(t_h4s_fcps_cart(t_bool,X2),h4s_wordss_n2w(s(t_h4s_nums_num,X3)))))=s(t_h4s_fcps_cart(t_bool,X1),h4s_bools_cond(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_fcps_dimindex(s(t_h4s_bools_itself(X1),h4s_bools_theu_u_value))),s(t_h4s_nums_num,h4s_fcps_dimindex(s(t_h4s_bools_itself(X2),h4s_bools_theu_u_value))))),s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_n2w(s(t_h4s_nums_num,X3))),s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_n2w(s(t_h4s_nums_num,h4s_bits_bits(s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,h4s_fcps_dimindex(s(t_h4s_bools_itself(X2),h4s_bools_theu_u_value))),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_0),s(t_h4s_nums_num,X3))))))),file('i/f/words/word__extract__n2w', ah4s_wordss_w2wu_u_n2w)).
fof(9, axiom,![X2]:![X3]:![X4]:![X5]:s(t_h4s_fcps_cart(t_bool,X2),happ(s(t_fun(t_h4s_fcps_cart(t_bool,X2),t_h4s_fcps_cart(t_bool,X2)),h4s_wordss_wordu_u_bits(s(t_h4s_nums_num,X5),s(t_h4s_nums_num,X4))),s(t_h4s_fcps_cart(t_bool,X2),h4s_wordss_n2w(s(t_h4s_nums_num,X3)))))=s(t_h4s_fcps_cart(t_bool,X2),h4s_wordss_n2w(s(t_h4s_nums_num,h4s_bits_bits(s(t_h4s_nums_num,h4s_arithmetics_min(s(t_h4s_nums_num,X5),s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,h4s_fcps_dimindex(s(t_h4s_bools_itself(X2),h4s_bools_theu_u_value))),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,X4),s(t_h4s_nums_num,X3))))),file('i/f/words/word__extract__n2w', ah4s_wordss_wordu_u_bitsu_u_n2w)).
fof(10, axiom,![X3]:![X20]:![X21]:![X22]:![X23]:s(t_h4s_nums_num,h4s_bits_bits(s(t_h4s_nums_num,X22),s(t_h4s_nums_num,X20),s(t_h4s_nums_num,h4s_bits_bits(s(t_h4s_nums_num,X23),s(t_h4s_nums_num,X21),s(t_h4s_nums_num,X3)))))=s(t_h4s_nums_num,h4s_bits_bits(s(t_h4s_nums_num,h4s_arithmetics_min(s(t_h4s_nums_num,X23),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X22),s(t_h4s_nums_num,X21))))),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X20),s(t_h4s_nums_num,X21))),s(t_h4s_nums_num,X3))),file('i/f/words/word__extract__n2w', ah4s_bits_BITSu_u_COMPu_u_THM2)).
fof(11, axiom,![X15]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X15),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,X15),file('i/f/words/word__extract__n2w', ah4s_arithmetics_ADDu_u_0)).
fof(12, axiom,![X1]:![X2]:![X4]:![X5]:s(t_fun(t_h4s_fcps_cart(t_bool,X2),t_h4s_fcps_cart(t_bool,X1)),h4s_wordss_wordu_u_extract(s(t_h4s_nums_num,X5),s(t_h4s_nums_num,X4)))=s(t_fun(t_h4s_fcps_cart(t_bool,X2),t_h4s_fcps_cart(t_bool,X1)),h4s_combins_o(s(t_fun(t_h4s_fcps_cart(t_bool,X2),t_h4s_fcps_cart(t_bool,X1)),h4s_wordss_w2w),s(t_fun(t_h4s_fcps_cart(t_bool,X2),t_h4s_fcps_cart(t_bool,X2)),h4s_wordss_wordu_u_bits(s(t_h4s_nums_num,X5),s(t_h4s_nums_num,X4))))),file('i/f/words/word__extract__n2w', ah4s_wordss_wordu_u_extractu_u_def)).
fof(16, axiom,![X1]:![X2]:![X25]:![X10]:![X9]:![X8]:s(X1,happ(s(t_fun(X25,X1),h4s_combins_o(s(t_fun(X2,X1),X8),s(t_fun(X25,X2),X9))),s(X25,X10)))=s(X1,happ(s(t_fun(X2,X1),X8),s(X2,happ(s(t_fun(X25,X2),X9),s(X25,X10))))),file('i/f/words/word__extract__n2w', ah4s_combins_ou_u_THM)).
# SZS output end CNFRefutation
