# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(5, axiom,![X6]:s(t_h4s_realaxs_real,h4s_utilu_u_probs_lg(s(t_h4s_realaxs_real,X6)))=s(t_h4s_realaxs_real,h4s_utilu_u_probs_logr(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_bit2(s(t_h4s_nums_num,h4s_arithmetics_zero))))))),s(t_h4s_realaxs_real,X6))),file('i/f/util_prob/lg__inv', ah4s_utilu_u_probs_lgu_u_def)).
fof(9, axiom,![X6]:![X8]:s(t_h4s_realaxs_real,h4s_utilu_u_probs_logr(s(t_h4s_realaxs_real,X8),s(t_h4s_realaxs_real,X6)))=s(t_h4s_realaxs_real,h4s_reals_u_2f(s(t_h4s_realaxs_real,h4s_transcs_ln(s(t_h4s_realaxs_real,X6))),s(t_h4s_realaxs_real,h4s_transcs_ln(s(t_h4s_realaxs_real,X8))))),file('i/f/util_prob/lg__inv', ah4s_utilu_u_probs_logru_u_def)).
fof(32, axiom,![X6]:(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_realaxs_inv(s(t_h4s_realaxs_real,X6)))))=s(t_h4s_realaxs_real,h4s_realaxs_realu_u_neg(s(t_h4s_realaxs_real,h4s_transcs_ln(s(t_h4s_realaxs_real,X6)))))),file('i/f/util_prob/lg__inv', ah4s_transcs_LNu_u_INV)).
fof(62, axiom,![X7]:![X6]:s(t_h4s_realaxs_real,h4s_reals_u_2f(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,X7)))=s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,h4s_realaxs_inv(s(t_h4s_realaxs_real,X7))))),file('i/f/util_prob/lg__inv', ah4s_reals_realu_u_div)).
fof(74, axiom,![X7]:![X6]:s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_neg(s(t_h4s_realaxs_real,X6))),s(t_h4s_realaxs_real,X7)))=s(t_h4s_realaxs_real,h4s_realaxs_realu_u_neg(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,X7))))),file('i/f/util_prob/lg__inv', ah4s_reals_REALu_u_MULu_u_LNEG)).
fof(133, conjecture,![X6]:(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_utilu_u_probs_lg(s(t_h4s_realaxs_real,h4s_realaxs_inv(s(t_h4s_realaxs_real,X6)))))=s(t_h4s_realaxs_real,h4s_realaxs_realu_u_neg(s(t_h4s_realaxs_real,h4s_utilu_u_probs_lg(s(t_h4s_realaxs_real,X6)))))),file('i/f/util_prob/lg__inv', ch4s_utilu_u_probs_lgu_u_inv)).
# SZS output end CNFRefutation
