# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,s(t_h4s_nums_num,h4s_fcps_dimindex(s(t_h4s_bools_itself(t_h4s_fcps_bit1(t_h4s_ones_one)),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_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))))),file('i/f/words/dimindex__3', ch4s_wordss_dimindexu_u_3)).
fof(3, axiom,![X4]:s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,h4s_arithmetics_zero))))),s(t_h4s_nums_num,X4)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X4),s(t_h4s_nums_num,X4))),file('i/f/words/dimindex__3', ah4s_arithmetics_TIMES2)).
fof(4, axiom,![X4]:![X5]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X4))),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X5)))))=s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_numerals_iz(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X4),s(t_h4s_nums_num,X5))))))),file('i/f/words/dimindex__3', ah4s_numerals_numeralu_u_distribu_c2)).
fof(5, axiom,![X6]:s(t_h4s_nums_num,h4s_numerals_idub(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X6)))))=s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_numerals_idub(s(t_h4s_nums_num,X6))))),file('i/f/words/dimindex__3', ah4s_numeralu_u_bits_iDUBu_u_NUMERAL)).
fof(6, axiom,![X1]:s(t_h4s_nums_num,h4s_fcps_dimindex(s(t_h4s_bools_itself(t_h4s_fcps_bit1(X1)),h4s_bools_theu_u_value)))=s(t_h4s_nums_num,h4s_bools_cond(s(t_bool,h4s_predu_u_sets_finite(s(t_fun(X1,t_bool),h4s_predu_u_sets_univ))),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,h4s_arithmetics_zero))))),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_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_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))))),file('i/f/words/dimindex__3', ah4s_fcps_indexu_u_bit1)).
fof(7, axiom,s(t_h4s_nums_num,h4s_fcps_dimindex(s(t_h4s_bools_itself(t_h4s_ones_one),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))))),file('i/f/words/dimindex__3', ah4s_fcps_indexu_u_one)).
fof(8, axiom,s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_arithmetics_zero)))=s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))),file('i/f/words/dimindex__3', ah4s_numerals_numeralu_u_sucu_c0)).
fof(9, axiom,![X4]:![X5]:s(t_h4s_nums_num,h4s_numerals_iz(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,X4))),s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X5)))))))=s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X4),s(t_h4s_nums_num,X5))))))),file('i/f/words/dimindex__3', ah4s_numerals_numeralu_u_addu_c4)).
fof(10, axiom,![X4]:s(t_h4s_nums_num,h4s_numerals_idub(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X4)))))=s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,h4s_numerals_idub(s(t_h4s_nums_num,X4))))),file('i/f/words/dimindex__3', ah4s_numerals_iDUBu_u_removalu_c0)).
fof(12, axiom,s(t_h4s_nums_num,h4s_numerals_idub(s(t_h4s_nums_num,h4s_arithmetics_zero)))=s(t_h4s_nums_num,h4s_arithmetics_zero),file('i/f/words/dimindex__3', ah4s_numerals_iDUBu_u_removalu_c2)).
fof(13, axiom,![X3]:s(t_h4s_nums_num,h4s_numerals_idub(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,X3))),file('i/f/words/dimindex__3', ah4s_numerals_iDUB0)).
fof(14, axiom,p(s(t_bool,h4s_predu_u_sets_finite(s(t_fun(t_h4s_ones_one,t_bool),h4s_predu_u_sets_univ)))),file('i/f/words/dimindex__3', ah4s_fcps_finiteu_u_one)).
fof(15, axiom,![X1]:![X7]:![X8]:s(X1,h4s_bools_cond(s(t_bool,t),s(X1,X8),s(X1,X7)))=s(X1,X8),file('i/f/words/dimindex__3', ah4s_bools_CONDu_u_CLAUSESu_c0)).
fof(21, axiom,![X14]:(s(t_bool,X14)=s(t_bool,t)<=>p(s(t_bool,X14))),file('i/f/words/dimindex__3', ah4s_bools_EQu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
