# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, axiom,p(s(t_bool,t)),file('i/f/extreal/LOGR__MONO__LE__IMP', aHLu_TRUTH)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/extreal/LOGR__MONO__LE__IMP', aHLu_FALSITY)).
fof(3, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)|s(t_bool,X1)=s(t_bool,f)),file('i/f/extreal/LOGR__MONO__LE__IMP', aHLu_BOOLu_CASES)).
fof(9, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)<=>p(s(t_bool,X1))),file('i/f/extreal/LOGR__MONO__LE__IMP', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(18, axiom,![X17]:![X18]:![X19]:((p(s(t_bool,X19))<=>s(t_bool,X18)=s(t_bool,X17))<=>((p(s(t_bool,X19))|(p(s(t_bool,X18))|p(s(t_bool,X17))))&((p(s(t_bool,X19))|(~(p(s(t_bool,X17)))|~(p(s(t_bool,X18)))))&((p(s(t_bool,X18))|(~(p(s(t_bool,X17)))|~(p(s(t_bool,X19)))))&(p(s(t_bool,X17))|(~(p(s(t_bool,X18)))|~(p(s(t_bool,X19))))))))),file('i/f/extreal/LOGR__MONO__LE__IMP', ah4s_sats_dcu_u_eq)).
fof(28, axiom,![X8]:![X6]:s(t_h4s_realaxs_real,h4s_reals_u_2f(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,X8)))=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,X8))))),file('i/f/extreal/LOGR__MONO__LE__IMP', ah4s_reals_realu_u_div)).
fof(29, axiom,![X20]:![X8]:![X6]:((p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,X8))))&p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X8),s(t_h4s_realaxs_real,X20)))))=>p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,X20))))),file('i/f/extreal/LOGR__MONO__LE__IMP', ah4s_reals_REALu_u_LTEu_u_TRANS)).
fof(30, 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/extreal/LOGR__MONO__LE__IMP', ah4s_reals_REALu_u_LTu_u_01)).
fof(31, axiom,![X6]:s(t_bool,h4s_reals_realu_u_lte(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_realaxs_inv(s(t_h4s_realaxs_real,X6)))))=s(t_bool,h4s_reals_realu_u_lte(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))),file('i/f/extreal/LOGR__MONO__LE__IMP', ah4s_reals_REALu_u_LEu_u_INVu_u_EQ)).
fof(32, axiom,![X20]:![X8]:![X6]:((p(s(t_bool,h4s_reals_realu_u_lte(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))))&p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X8),s(t_h4s_realaxs_real,X20)))))=>p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,X8),s(t_h4s_realaxs_real,X6))),s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,X20),s(t_h4s_realaxs_real,X6))))))),file('i/f/extreal/LOGR__MONO__LE__IMP', ah4s_reals_REALu_u_LEu_u_RMULu_u_IMP)).
fof(33, 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/extreal/LOGR__MONO__LE__IMP', ah4s_transcs_LNu_u_1)).
fof(34, axiom,![X8]:![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))))&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,X8)))))=>s(t_bool,h4s_reals_realu_u_lte(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)))))=s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,X8)))),file('i/f/extreal/LOGR__MONO__LE__IMP', ah4s_transcs_LNu_u_MONOu_u_LE)).
fof(35, axiom,![X6]:![X21]:s(t_h4s_realaxs_real,h4s_utilu_u_probs_logr(s(t_h4s_realaxs_real,X21),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,X21))))),file('i/f/extreal/LOGR__MONO__LE__IMP', ah4s_utilu_u_probs_logru_u_def)).
fof(36, conjecture,![X8]:![X6]:![X22]:((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))))&(p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,X8))))&p(s(t_bool,h4s_reals_realu_u_lte(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,X22))))))=>p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,h4s_utilu_u_probs_logr(s(t_h4s_realaxs_real,X22),s(t_h4s_realaxs_real,X6))),s(t_h4s_realaxs_real,h4s_utilu_u_probs_logr(s(t_h4s_realaxs_real,X22),s(t_h4s_realaxs_real,X8))))))),file('i/f/extreal/LOGR__MONO__LE__IMP', ch4s_extreals_LOGRu_u_MONOu_u_LEu_u_IMP)).
# SZS output end CNFRefutation
