# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:(p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),s(t_h4s_realaxs_real,X1))))=>s(t_h4s_realaxs_real,h4s_transcs_sqrt(s(t_h4s_realaxs_real,h4s_realaxs_inv(s(t_h4s_realaxs_real,X1)))))=s(t_h4s_realaxs_real,h4s_realaxs_inv(s(t_h4s_realaxs_real,h4s_transcs_sqrt(s(t_h4s_realaxs_real,X1)))))),file('i/f/transc/SQRT__INV', ch4s_transcs_SQRTu_u_INV)).
fof(12, axiom,![X1]:s(t_h4s_realaxs_real,h4s_transcs_sqrt(s(t_h4s_realaxs_real,X1)))=s(t_h4s_realaxs_real,h4s_transcs_root(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_realaxs_real,X1))),file('i/f/transc/SQRT__INV', ah4s_transcs_sqrt0)).
fof(23, axiom,![X5]:![X6]:((p(s(t_bool,X6))=>p(s(t_bool,X5)))=>((p(s(t_bool,X5))=>p(s(t_bool,X6)))=>s(t_bool,X6)=s(t_bool,X5))),file('i/f/transc/SQRT__INV', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(37, axiom,![X3]:![X1]:(p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,X3))))<=>(p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,X3))))|s(t_h4s_realaxs_real,X1)=s(t_h4s_realaxs_real,X3))),file('i/f/transc/SQRT__INV', ah4s_reals_REALu_u_LEu_u_LT)).
fof(41, axiom,![X3]:![X1]:s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,X3)))=s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,X3),s(t_h4s_realaxs_real,X1))),file('i/f/transc/SQRT__INV', ah4s_reals_REALu_u_MULu_u_SYM)).
fof(43, axiom,![X1]:s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(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_realaxs_real,X1)))=s(t_h4s_realaxs_real,X1),file('i/f/transc/SQRT__INV', ah4s_reals_REALu_u_MULu_u_LID)).
fof(57, axiom,![X1]:![X14]:(p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),s(t_h4s_realaxs_real,X1))))=>s(t_h4s_realaxs_real,h4s_transcs_root(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X14))),s(t_h4s_realaxs_real,h4s_realaxs_inv(s(t_h4s_realaxs_real,X1)))))=s(t_h4s_realaxs_real,h4s_realaxs_inv(s(t_h4s_realaxs_real,h4s_transcs_root(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X14))),s(t_h4s_realaxs_real,X1)))))),file('i/f/transc/SQRT__INV', ah4s_transcs_ROOTu_u_INV)).
fof(59, axiom,![X14]:s(t_h4s_realaxs_real,h4s_transcs_root(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X14))),s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(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_realaxs_real,h4s_reals_realu_u_ofu_u_num(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/transc/SQRT__INV', ah4s_transcs_ROOTu_u_1)).
fof(61, axiom,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_nums_suc(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/transc/SQRT__INV', ah4s_arithmetics_TWO)).
# SZS output end CNFRefutation
