# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![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))))=>p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,h4s_transcs_ln(s(t_h4s_realaxs_real,X1))),s(t_h4s_realaxs_real,X1))))),file('i/f/transc/LN__LT__X', ch4s_transcs_LNu_u_LTu_u_X)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/transc/LN__LT__X', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/transc/LN__LT__X', aHLu_FALSITY)).
fof(9, axiom,![X2]:(s(t_bool,X2)=s(t_bool,t)<=>p(s(t_bool,X2))),file('i/f/transc/LN__LT__X', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(17, axiom,![X8]:![X1]:(~(p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X1),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,X1))))),file('i/f/transc/LN__LT__X', ah4s_reals_REALu_u_NOTu_u_LT)).
fof(18, axiom,![X8]:![X1]:(~(p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,X8)))))<=>p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X8),s(t_h4s_realaxs_real,X1))))),file('i/f/transc/LN__LT__X', ah4s_reals_REALu_u_NOTu_u_LE)).
fof(20, axiom,![X8]:![X1]:(p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,X8))))=>p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,X8))))),file('i/f/transc/LN__LT__X', ah4s_reals_REALu_u_LTu_u_IMPu_u_LE)).
fof(21, axiom,![X9]:![X8]:![X1]:((p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,X8))))&p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X8),s(t_h4s_realaxs_real,X9)))))=>p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,X9))))),file('i/f/transc/LN__LT__X', ah4s_reals_REALu_u_LETu_u_TRANS)).
fof(22, axiom,![X9]:![X8]:![X1]:((p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X1),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,X9)))))=>p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,X9))))),file('i/f/transc/LN__LT__X', ah4s_reals_REALu_u_LEu_u_TRANS)).
fof(23, axiom,![X2]:(s(t_bool,X2)=s(t_bool,t)|s(t_bool,X2)=s(t_bool,f)),file('i/f/transc/LN__LT__X', aHLu_BOOLu_CASES)).
fof(24, axiom,![X9]:![X8]:![X1]:s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,X9))),s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,X8),s(t_h4s_realaxs_real,X9)))))=s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,X8))),file('i/f/transc/LN__LT__X', ah4s_reals_REALu_u_LTu_u_RADD)).
fof(25, 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/LN__LT__X', ah4s_reals_REALu_u_LTu_u_01)).
fof(26, axiom,![X1]:(s(t_h4s_realaxs_real,h4s_transcs_exp(s(t_h4s_realaxs_real,h4s_transcs_ln(s(t_h4s_realaxs_real,X1)))))=s(t_h4s_realaxs_real,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))))),file('i/f/transc/LN__LT__X', ah4s_transcs_EXPu_u_LN)).
fof(27, axiom,![X1]:s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(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,X1),file('i/f/transc/LN__LT__X', ah4s_reals_REALu_u_ADDu_u_LID)).
fof(28, axiom,![X1]:(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,X1))))=>p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(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,X1))),s(t_h4s_realaxs_real,h4s_transcs_exp(s(t_h4s_realaxs_real,X1))))))),file('i/f/transc/LN__LT__X', ah4s_transcs_EXPu_u_LEu_u_X)).
# SZS output end CNFRefutation
