# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:((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_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))))),s(t_h4s_realaxs_real,X3))))&(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))))&(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,X2))))&s(t_h4s_realaxs_real,h4s_transcs_rpow(s(t_h4s_realaxs_real,X3),s(t_h4s_realaxs_real,X2)))=s(t_h4s_realaxs_real,h4s_transcs_rpow(s(t_h4s_realaxs_real,X3),s(t_h4s_realaxs_real,X1))))))=>s(t_h4s_realaxs_real,X2)=s(t_h4s_realaxs_real,X1)),file('i/f/transc/RPOW__UNIQ__EXP', ch4s_transcs_RPOWu_u_UNIQu_u_EXP)).
fof(2, axiom,![X4]:![X5]:((p(s(t_bool,X5))=>p(s(t_bool,X4)))=>((p(s(t_bool,X4))=>p(s(t_bool,X5)))=>s(t_bool,X5)=s(t_bool,X4))),file('i/f/transc/RPOW__UNIQ__EXP', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(17, axiom,![X2]:![X3]:s(t_h4s_realaxs_real,h4s_transcs_rpow(s(t_h4s_realaxs_real,X3),s(t_h4s_realaxs_real,X2)))=s(t_h4s_realaxs_real,h4s_transcs_exp(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,X2),s(t_h4s_realaxs_real,h4s_transcs_ln(s(t_h4s_realaxs_real,X3))))))),file('i/f/transc/RPOW__UNIQ__EXP', ah4s_transcs_rpowu_u_def)).
fof(18, axiom,![X19]:![X8]:![X9]:((p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X9),s(t_h4s_realaxs_real,X8))))&p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X8),s(t_h4s_realaxs_real,X19)))))=>p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X9),s(t_h4s_realaxs_real,X19))))),file('i/f/transc/RPOW__UNIQ__EXP', ah4s_reals_REALu_u_LTu_u_TRANS)).
fof(19, axiom,![X9]:(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,X9))))=>~(s(t_h4s_realaxs_real,X9)=s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))))),file('i/f/transc/RPOW__UNIQ__EXP', ah4s_reals_REALu_u_POSu_u_NZ)).
fof(20, axiom,![X8]:![X9]:s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,h4s_transcs_exp(s(t_h4s_realaxs_real,X9))),s(t_h4s_realaxs_real,h4s_transcs_exp(s(t_h4s_realaxs_real,X8)))))=s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X9),s(t_h4s_realaxs_real,X8))),file('i/f/transc/RPOW__UNIQ__EXP', ah4s_transcs_EXPu_u_MONOu_u_LT)).
fof(22, axiom,s(t_h4s_realaxs_real,h4s_transcs_exp(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_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__UNIQ__EXP', ah4s_transcs_EXPu_u_0)).
fof(23, axiom,![X9]:s(t_h4s_realaxs_real,h4s_transcs_ln(s(t_h4s_realaxs_real,h4s_transcs_exp(s(t_h4s_realaxs_real,X9)))))=s(t_h4s_realaxs_real,X9),file('i/f/transc/RPOW__UNIQ__EXP', ah4s_transcs_LNu_u_EXP)).
fof(24, axiom,![X9]:(s(t_h4s_realaxs_real,h4s_transcs_exp(s(t_h4s_realaxs_real,h4s_transcs_ln(s(t_h4s_realaxs_real,X9)))))=s(t_h4s_realaxs_real,X9)<=>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,X9))))),file('i/f/transc/RPOW__UNIQ__EXP', ah4s_transcs_EXPu_u_LN)).
fof(25, axiom,![X19]:![X8]:![X9]:(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,X9),s(t_h4s_realaxs_real,X19)))=s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,X8),s(t_h4s_realaxs_real,X19)))<=>(s(t_h4s_realaxs_real,X19)=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,X9)=s(t_h4s_realaxs_real,X8))),file('i/f/transc/RPOW__UNIQ__EXP', ah4s_reals_REALu_u_EQu_u_RMUL)).
# SZS output end CNFRefutation
