# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(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,h4s_realaxs_inv(s(t_h4s_realaxs_real,X2))),s(t_h4s_realaxs_real,X1)))=s(t_h4s_realaxs_real,h4s_realaxs_inv(s(t_h4s_realaxs_real,h4s_transcs_rpow(s(t_h4s_realaxs_real,X2),s(t_h4s_realaxs_real,X1)))))),file('i/f/transc/RPOW__INV', ch4s_transcs_RPOWu_u_INV)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/transc/RPOW__INV', aHLu_TRUTH)).
fof(8, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t)<=>p(s(t_bool,X3))),file('i/f/transc/RPOW__INV', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(11, axiom,![X5]:s(t_h4s_realaxs_real,h4s_realaxs_inv(s(t_h4s_realaxs_real,X5)))=s(t_h4s_realaxs_real,h4s_reals_u_2f(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,X5))),file('i/f/transc/RPOW__INV', ah4s_reals_REALu_u_INVu_u_1OVER)).
fof(12, axiom,![X1]:![X2]:s(t_h4s_realaxs_real,h4s_transcs_rpow(s(t_h4s_realaxs_real,X2),s(t_h4s_realaxs_real,X1)))=s(t_h4s_realaxs_real,h4s_transcs_exp(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,h4s_transcs_ln(s(t_h4s_realaxs_real,X2))))))),file('i/f/transc/RPOW__INV', ah4s_transcs_rpowu_u_def)).
fof(13, axiom,![X5]:s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,X5),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_nums_0))),file('i/f/transc/RPOW__INV', ah4s_reals_REALu_u_MULu_u_RZERO)).
fof(14, axiom,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,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__INV', ah4s_reals_REALu_u_LTu_u_01)).
fof(15, axiom,![X12]:![X6]:![X5]:s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,X5),s(t_h4s_realaxs_real,h4s_reals_realu_u_sub(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,X12)))))=s(t_h4s_realaxs_real,h4s_reals_realu_u_sub(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,X5),s(t_h4s_realaxs_real,X6))),s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,X5),s(t_h4s_realaxs_real,X12))))),file('i/f/transc/RPOW__INV', ah4s_reals_REALu_u_SUBu_u_LDISTRIB)).
fof(16, 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__INV', ah4s_transcs_EXPu_u_0)).
fof(17, axiom,![X6]:![X5]:s(t_h4s_realaxs_real,h4s_transcs_exp(s(t_h4s_realaxs_real,h4s_reals_realu_u_sub(s(t_h4s_realaxs_real,X5),s(t_h4s_realaxs_real,X6)))))=s(t_h4s_realaxs_real,h4s_reals_u_2f(s(t_h4s_realaxs_real,h4s_transcs_exp(s(t_h4s_realaxs_real,X5))),s(t_h4s_realaxs_real,h4s_transcs_exp(s(t_h4s_realaxs_real,X6))))),file('i/f/transc/RPOW__INV', ah4s_transcs_EXPu_u_SUB)).
fof(18, axiom,s(t_h4s_realaxs_real,h4s_transcs_ln(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_nums_0))),file('i/f/transc/RPOW__INV', ah4s_transcs_LNu_u_1)).
fof(19, axiom,![X6]:![X5]:((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,X5))))&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,X6)))))=>s(t_h4s_realaxs_real,h4s_transcs_ln(s(t_h4s_realaxs_real,h4s_reals_u_2f(s(t_h4s_realaxs_real,X5),s(t_h4s_realaxs_real,X6)))))=s(t_h4s_realaxs_real,h4s_reals_realu_u_sub(s(t_h4s_realaxs_real,h4s_transcs_ln(s(t_h4s_realaxs_real,X5))),s(t_h4s_realaxs_real,h4s_transcs_ln(s(t_h4s_realaxs_real,X6)))))),file('i/f/transc/RPOW__INV', ah4s_transcs_LNu_u_DIV)).
# SZS output end CNFRefutation
