# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:s(t_h4s_fcps_cart(t_bool,t_h4s_fcps_bit0(t_h4s_fcps_bit0(t_h4s_fcps_bit0(t_h4s_ones_one)))),h4s_wordss_wordu_u_extract(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_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))))))),s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_fcps_cart(t_bool,t_h4s_fcps_bit0(t_h4s_fcps_bit0(t_h4s_fcps_bit0(t_h4s_ones_one)))),X1)))=s(t_h4s_fcps_cart(t_bool,t_h4s_fcps_bit0(t_h4s_fcps_bit0(t_h4s_fcps_bit0(t_h4s_ones_one)))),X1),file('i/f/HolSmt/r250', ch4s_HolSmts_r250)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/HolSmt/r250', aHLu_TRUTH)).
fof(5, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t)<=>p(s(t_bool,X3))),file('i/f/HolSmt/r250', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(6, axiom,![X2]:![X4]:![X5]:![X6]:s(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),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))),file('i/f/HolSmt/r250', ah4s_wordss_WORDu_u_BITSu_u_EXTRACT)).
fof(7, axiom,![X2]:![X4]:![X6]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(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,X6))))=>s(t_h4s_fcps_cart(t_bool,X2),h4s_wordss_wordu_u_bits(s(t_h4s_nums_num,X6),s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_fcps_cart(t_bool,X2),X4)))=s(t_h4s_fcps_cart(t_bool,X2),X4)),file('i/f/HolSmt/r250', ah4s_wordss_WORDu_u_ALLu_u_BITS)).
fof(8, axiom,s(t_h4s_nums_num,h4s_fcps_dimindex(s(t_h4s_bools_itself(t_h4s_fcps_bit0(t_h4s_fcps_bit0(t_h4s_fcps_bit0(t_h4s_ones_one)))),h4s_bools_theu_u_value)))=s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit2(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/HolSmt/r250', ah4s_wordss_dimindexu_u_8)).
fof(9, axiom,![X7]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X7),s(t_h4s_nums_num,X7)))),file('i/f/HolSmt/r250', ah4s_arithmetics_LESSu_u_EQu_u_REFL)).
fof(10, axiom,![X8]:![X9]:![X7]:s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X7),s(t_h4s_nums_num,X9))),s(t_h4s_nums_num,X8)))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X7),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X9),s(t_h4s_nums_num,X8))))),file('i/f/HolSmt/r250', ah4s_arithmetics_SUBu_u_RIGHTu_u_LESSu_u_EQ)).
fof(11, axiom,![X9]:![X7]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X9))),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X7)))))=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,X9),s(t_h4s_nums_num,X7))))))),file('i/f/HolSmt/r250', ah4s_numerals_numeralu_u_distribu_c2)).
fof(12, axiom,![X9]:s(t_h4s_nums_num,h4s_numerals_iz(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_arithmetics_zero),s(t_h4s_nums_num,X9)))))=s(t_h4s_nums_num,X9),file('i/f/HolSmt/r250', ah4s_numerals_numeralu_u_addu_c0)).
fof(13, axiom,![X9]:![X7]:s(t_h4s_nums_num,h4s_numerals_iz(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X9))),s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X7)))))))=s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,h4s_numerals_iz(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X9),s(t_h4s_nums_num,X7))))))),file('i/f/HolSmt/r250', ah4s_numerals_numeralu_u_addu_c2)).
# SZS output end CNFRefutation
