# 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_reals_pow(s(t_h4s_realaxs_real,X1),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/POW__2__SQRT', ch4s_transcs_POWu_u_2u_u_SQRT)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/transc/POW__2__SQRT', aHLu_TRUTH)).
fof(6, axiom,![X2]:(s(t_bool,X2)=s(t_bool,t)<=>p(s(t_bool,X2))),file('i/f/transc/POW__2__SQRT', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(7, 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/POW__2__SQRT', ah4s_transcs_sqrt0)).
fof(8, axiom,![X1]:![X3]:(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,X3))),s(t_h4s_realaxs_real,h4s_reals_pow(s(t_h4s_realaxs_real,X1),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X3)))))))=s(t_h4s_realaxs_real,X1)),file('i/f/transc/POW__2__SQRT', ah4s_transcs_POWu_u_ROOTu_u_POS)).
fof(9, 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/POW__2__SQRT', ah4s_arithmetics_TWO)).
# SZS output end CNFRefutation
