# 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_nums_0))),s(t_h4s_realaxs_real,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,X1)))))=>s(t_h4s_realaxs_real,h4s_utilu_u_probs_logr(s(t_h4s_realaxs_real,X3),s(t_h4s_realaxs_real,h4s_reals_u_2f(s(t_h4s_realaxs_real,X2),s(t_h4s_realaxs_real,X1)))))=s(t_h4s_realaxs_real,h4s_reals_realu_u_sub(s(t_h4s_realaxs_real,h4s_utilu_u_probs_logr(s(t_h4s_realaxs_real,X3),s(t_h4s_realaxs_real,X2))),s(t_h4s_realaxs_real,h4s_utilu_u_probs_logr(s(t_h4s_realaxs_real,X3),s(t_h4s_realaxs_real,X1)))))),file('i/f/util_prob/logr__div', ch4s_utilu_u_probs_logru_u_div)).
fof(4, axiom,![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))))&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_ln(s(t_h4s_realaxs_real,h4s_reals_u_2f(s(t_h4s_realaxs_real,X2),s(t_h4s_realaxs_real,X1)))))=s(t_h4s_realaxs_real,h4s_reals_realu_u_sub(s(t_h4s_realaxs_real,h4s_transcs_ln(s(t_h4s_realaxs_real,X2))),s(t_h4s_realaxs_real,h4s_transcs_ln(s(t_h4s_realaxs_real,X1)))))),file('i/f/util_prob/logr__div', ah4s_transcs_LNu_u_DIV)).
fof(6, axiom,![X1]:![X2]:s(t_h4s_realaxs_real,h4s_reals_realu_u_sub(s(t_h4s_realaxs_real,X2),s(t_h4s_realaxs_real,X1)))=s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,X2),s(t_h4s_realaxs_real,h4s_realaxs_realu_u_neg(s(t_h4s_realaxs_real,X1))))),file('i/f/util_prob/logr__div', ah4s_reals_realu_u_sub0)).
fof(8, axiom,![X2]:![X7]:s(t_h4s_realaxs_real,h4s_utilu_u_probs_logr(s(t_h4s_realaxs_real,X7),s(t_h4s_realaxs_real,X2)))=s(t_h4s_realaxs_real,h4s_reals_u_2f(s(t_h4s_realaxs_real,h4s_transcs_ln(s(t_h4s_realaxs_real,X2))),s(t_h4s_realaxs_real,h4s_transcs_ln(s(t_h4s_realaxs_real,X7))))),file('i/f/util_prob/logr__div', ah4s_utilu_u_probs_logru_u_def)).
fof(10, axiom,![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_nums_0))),s(t_h4s_realaxs_real,X2))))=>s(t_h4s_realaxs_real,h4s_utilu_u_probs_logr(s(t_h4s_realaxs_real,X3),s(t_h4s_realaxs_real,h4s_realaxs_inv(s(t_h4s_realaxs_real,X2)))))=s(t_h4s_realaxs_real,h4s_realaxs_realu_u_neg(s(t_h4s_realaxs_real,h4s_utilu_u_probs_logr(s(t_h4s_realaxs_real,X3),s(t_h4s_realaxs_real,X2)))))),file('i/f/util_prob/logr__div', ah4s_utilu_u_probs_logru_u_inv)).
fof(48, axiom,![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_ln(s(t_h4s_realaxs_real,h4s_realaxs_inv(s(t_h4s_realaxs_real,X2)))))=s(t_h4s_realaxs_real,h4s_realaxs_realu_u_neg(s(t_h4s_realaxs_real,h4s_transcs_ln(s(t_h4s_realaxs_real,X2)))))),file('i/f/util_prob/logr__div', ah4s_transcs_LNu_u_INV)).
fof(53, axiom,![X8]:![X1]:![X2]:s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,h4s_reals_u_2f(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,X2))),s(t_h4s_realaxs_real,h4s_reals_u_2f(s(t_h4s_realaxs_real,X8),s(t_h4s_realaxs_real,X2)))))=s(t_h4s_realaxs_real,h4s_reals_u_2f(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,X8))),s(t_h4s_realaxs_real,X2))),file('i/f/util_prob/logr__div', ah4s_reals_REALu_u_DIVu_u_ADD)).
fof(58, axiom,![X1]:![X2]:s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,X2),s(t_h4s_realaxs_real,X1)))=s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,X2))),file('i/f/util_prob/logr__div', ah4s_reals_REALu_u_ADDu_u_SYM)).
# SZS output end CNFRefutation
