# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:(p(s(t_bool,h4s_realaxs_realu_u_lt(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_rpow(s(t_h4s_realaxs_real,X1),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)),file('i/f/transc/RPOW__1', ch4s_transcs_RPOWu_u_1)).
fof(14, axiom,![X3]:![X4]:(p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X4),s(t_h4s_realaxs_real,X3))))=>~(s(t_h4s_realaxs_real,X4)=s(t_h4s_realaxs_real,X3))),file('i/f/transc/RPOW__1', ah4s_reals_REALu_u_LTu_u_IMPu_u_NE)).
fof(21, axiom,![X4]: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,X4)))=s(t_h4s_realaxs_real,X4),file('i/f/transc/RPOW__1', ah4s_reals_REALu_u_MULu_u_LID)).
fof(22, axiom,![X3]:![X4]:s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,X4),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,X4))),file('i/f/transc/RPOW__1', ah4s_reals_REALu_u_MULu_u_COMM)).
fof(39, axiom,![X17]:![X1]:(p(s(t_bool,h4s_realaxs_realu_u_lt(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_reals_pow(s(t_h4s_realaxs_real,X1),s(t_h4s_nums_num,X17)))=s(t_h4s_realaxs_real,h4s_transcs_rpow(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,X17)))))),file('i/f/transc/RPOW__1', ah4s_transcs_GENu_u_RPOW)).
fof(40, axiom,![X23]:![X1]:s(t_h4s_realaxs_real,h4s_transcs_rpow(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,X23)))=s(t_h4s_realaxs_real,h4s_transcs_exp(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,X23),s(t_h4s_realaxs_real,h4s_transcs_ln(s(t_h4s_realaxs_real,X1))))))),file('i/f/transc/RPOW__1', ah4s_transcs_rpowu_u_def)).
fof(55, axiom,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_nums_suc(s(t_h4s_nums_num,h4s_nums_0))),file('i/f/transc/RPOW__1', ah4s_arithmetics_ONE)).
fof(57, axiom,![X4]:(~(s(t_h4s_realaxs_real,X4)=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,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,h4s_realaxs_inv(s(t_h4s_realaxs_real,X4))),s(t_h4s_realaxs_real,X4)))=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/RPOW__1', ah4s_reals_REALu_u_MULu_u_LINV)).
fof(73, axiom,![X4]:(s(t_h4s_realaxs_real,h4s_transcs_exp(s(t_h4s_realaxs_real,h4s_transcs_ln(s(t_h4s_realaxs_real,X4)))))=s(t_h4s_realaxs_real,X4)<=>p(s(t_bool,h4s_realaxs_realu_u_lt(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,X4))))),file('i/f/transc/RPOW__1', ah4s_transcs_EXPu_u_LN)).
fof(81, axiom,![X4]:(~(s(t_h4s_realaxs_real,X4)=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,h4s_realaxs_inv(s(t_h4s_realaxs_real,h4s_realaxs_inv(s(t_h4s_realaxs_real,X4)))))=s(t_h4s_realaxs_real,X4)),file('i/f/transc/RPOW__1', ah4s_reals_REALu_u_INVINV)).
# SZS output end CNFRefutation
