# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(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,X2)))<=>p(s(t_bool,h4s_bits_modu_u_2expu_u_eq(s(t_h4s_nums_num,h4s_fcps_dimindex(s(t_h4s_bools_itself(X1),h4s_bools_theu_u_value))),s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X2))))),file('i/f/words/word__eq__n2w_c0', ch4s_wordss_wordu_u_equ_u_n2wu_c0)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/words/word__eq__n2w_c0', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/words/word__eq__n2w_c0', aHLu_FALSITY)).
fof(6, axiom,![X2]:![X5]:![X6]:(p(s(t_bool,h4s_bits_modu_u_2expu_u_eq(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X6),s(t_h4s_nums_num,X5))))<=>s(t_h4s_nums_num,h4s_bits_modu_u_2exp(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X6)))=s(t_h4s_nums_num,h4s_bits_modu_u_2exp(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X5)))),file('i/f/words/word__eq__n2w_c0', ah4s_bits_MODu_u_2EXPu_u_EQu_u_def)).
fof(8, axiom,![X1]:![X2]:s(t_h4s_nums_num,h4s_arithmetics_mod(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,h4s_wordss_dimword(s(t_h4s_bools_itself(X1),h4s_bools_theu_u_value)))))=s(t_h4s_nums_num,h4s_bits_modu_u_2exp(s(t_h4s_nums_num,h4s_fcps_dimindex(s(t_h4s_bools_itself(X1),h4s_bools_theu_u_value))),s(t_h4s_nums_num,X2))),file('i/f/words/word__eq__n2w_c0', ah4s_wordss_MODu_u_2EXPu_u_DIMINDEX)).
fof(9, axiom,![X1]:![X2]:![X3]:(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,X2)))<=>s(t_h4s_nums_num,h4s_arithmetics_mod(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,h4s_wordss_dimword(s(t_h4s_bools_itself(X1),h4s_bools_theu_u_value)))))=s(t_h4s_nums_num,h4s_arithmetics_mod(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,h4s_wordss_dimword(s(t_h4s_bools_itself(X1),h4s_bools_theu_u_value)))))),file('i/f/words/word__eq__n2w_c0', ah4s_wordss_n2wu_u_11)).
fof(10, axiom,![X8]:(s(t_bool,X8)=s(t_bool,t)|s(t_bool,X8)=s(t_bool,f)),file('i/f/words/word__eq__n2w_c0', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
