# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:![X6]:s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_wordu_u_xor(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,X6),s(t_h4s_nums_num,X5))),s(t_h4s_fcps_cart(t_bool,X2),X4))),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,X6),s(t_h4s_nums_num,X5))),s(t_h4s_fcps_cart(t_bool,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_wordu_u_extract(s(t_h4s_nums_num,X6),s(t_h4s_nums_num,X5))),s(t_h4s_fcps_cart(t_bool,X2),h4s_wordss_wordu_u_xor(s(t_h4s_fcps_cart(t_bool,X2),X4),s(t_h4s_fcps_cart(t_bool,X2),X3))))),file('i/f/words/WORD__EXTRACT__OVER__BITWISE_c2', ch4s_wordss_WORDu_u_EXTRACTu_u_OVERu_u_BITWISEu_c2)).
fof(4, axiom,![X2]:![X3]:![X4]:![X5]:![X6]:s(t_h4s_fcps_cart(t_bool,X2),h4s_wordss_wordu_u_xor(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,X6),s(t_h4s_nums_num,X5))),s(t_h4s_fcps_cart(t_bool,X2),X4))),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,X6),s(t_h4s_nums_num,X5))),s(t_h4s_fcps_cart(t_bool,X2),X3)))))=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,X6),s(t_h4s_nums_num,X5))),s(t_h4s_fcps_cart(t_bool,X2),h4s_wordss_wordu_u_xor(s(t_h4s_fcps_cart(t_bool,X2),X4),s(t_h4s_fcps_cart(t_bool,X2),X3))))),file('i/f/words/WORD__EXTRACT__OVER__BITWISE_c2', ah4s_wordss_WORDu_u_BITSu_u_OVERu_u_BITWISEu_c2)).
fof(5, axiom,![X13]:![X2]:![X3]:![X4]:s(t_h4s_fcps_cart(t_bool,X13),h4s_wordss_wordu_u_xor(s(t_h4s_fcps_cart(t_bool,X13),happ(s(t_fun(t_h4s_fcps_cart(t_bool,X2),t_h4s_fcps_cart(t_bool,X13)),h4s_wordss_w2w),s(t_h4s_fcps_cart(t_bool,X2),X4))),s(t_h4s_fcps_cart(t_bool,X13),happ(s(t_fun(t_h4s_fcps_cart(t_bool,X2),t_h4s_fcps_cart(t_bool,X13)),h4s_wordss_w2w),s(t_h4s_fcps_cart(t_bool,X2),X3)))))=s(t_h4s_fcps_cart(t_bool,X13),happ(s(t_fun(t_h4s_fcps_cart(t_bool,X2),t_h4s_fcps_cart(t_bool,X13)),h4s_wordss_w2w),s(t_h4s_fcps_cart(t_bool,X2),h4s_wordss_wordu_u_xor(s(t_h4s_fcps_cart(t_bool,X2),X4),s(t_h4s_fcps_cart(t_bool,X2),X3))))),file('i/f/words/WORD__EXTRACT__OVER__BITWISE_c2', ah4s_wordss_WORDu_u_w2wu_u_OVERu_u_BITWISEu_c2)).
fof(6, axiom,![X13]:![X2]:![X5]:![X6]:s(t_fun(t_h4s_fcps_cart(t_bool,X2),t_h4s_fcps_cart(t_bool,X13)),h4s_wordss_wordu_u_extract(s(t_h4s_nums_num,X6),s(t_h4s_nums_num,X5)))=s(t_fun(t_h4s_fcps_cart(t_bool,X2),t_h4s_fcps_cart(t_bool,X13)),h4s_combins_o(s(t_fun(t_h4s_fcps_cart(t_bool,X2),t_h4s_fcps_cart(t_bool,X13)),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,X6),s(t_h4s_nums_num,X5))))),file('i/f/words/WORD__EXTRACT__OVER__BITWISE_c2', ah4s_wordss_wordu_u_extractu_u_def)).
fof(7, axiom,![X13]:![X2]:![X14]:![X8]:![X12]:![X11]:s(X13,happ(s(t_fun(X14,X13),h4s_combins_o(s(t_fun(X2,X13),X11),s(t_fun(X14,X2),X12))),s(X14,X8)))=s(X13,happ(s(t_fun(X2,X13),X11),s(X2,happ(s(t_fun(X14,X2),X12),s(X14,X8))))),file('i/f/words/WORD__EXTRACT__OVER__BITWISE_c2', ah4s_combins_ou_u_THM)).
# SZS output end CNFRefutation
