# 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,X1))))=>s(t_h4s_realaxs_real,h4s_utilu_u_probs_logr(s(t_h4s_realaxs_real,X2),s(t_h4s_realaxs_real,h4s_realaxs_inv(s(t_h4s_realaxs_real,X1)))))=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,X2),s(t_h4s_realaxs_real,X1)))))),file('i/f/util_prob/logr__inv', ch4s_utilu_u_probs_logru_u_inv)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/util_prob/logr__inv', aHLu_TRUTH)).
fof(7, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t)<=>p(s(t_bool,X3))),file('i/f/util_prob/logr__inv', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(10, axiom,![X5]:![X1]: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,X1))),s(t_h4s_realaxs_real,X5)))=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,X1),s(t_h4s_realaxs_real,X5))))),file('i/f/util_prob/logr__inv', ah4s_reals_REALu_u_MULu_u_LNEG)).
fof(11, axiom,![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_ln(s(t_h4s_realaxs_real,h4s_realaxs_inv(s(t_h4s_realaxs_real,X1)))))=s(t_h4s_realaxs_real,h4s_realaxs_realu_u_neg(s(t_h4s_realaxs_real,h4s_transcs_ln(s(t_h4s_realaxs_real,X1)))))),file('i/f/util_prob/logr__inv', ah4s_transcs_LNu_u_INV)).
fof(12, axiom,![X1]:![X11]:s(t_h4s_realaxs_real,h4s_utilu_u_probs_logr(s(t_h4s_realaxs_real,X11),s(t_h4s_realaxs_real,X1)))=s(t_h4s_realaxs_real,h4s_reals_u_2f(s(t_h4s_realaxs_real,h4s_transcs_ln(s(t_h4s_realaxs_real,X1))),s(t_h4s_realaxs_real,h4s_transcs_ln(s(t_h4s_realaxs_real,X11))))),file('i/f/util_prob/logr__inv', ah4s_utilu_u_probs_logru_u_def)).
fof(13, axiom,![X5]:![X1]:s(t_h4s_realaxs_real,h4s_reals_u_2f(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,X5)))=s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,h4s_realaxs_inv(s(t_h4s_realaxs_real,X5))))),file('i/f/util_prob/logr__inv', ah4s_reals_realu_u_div)).
# SZS output end CNFRefutation
