# 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,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_realaxs_realu_u_mul(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,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/transc/LN__MUL', ch4s_transcs_LNu_u_MUL)).
fof(3, axiom,![X1]:![X2]:s(t_h4s_realaxs_real,h4s_transcs_exp(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_mul(s(t_h4s_realaxs_real,h4s_transcs_exp(s(t_h4s_realaxs_real,X2))),s(t_h4s_realaxs_real,h4s_transcs_exp(s(t_h4s_realaxs_real,X1))))),file('i/f/transc/LN__MUL', ah4s_transcs_EXPu_u_ADD)).
fof(4, axiom,![X2]:(s(t_h4s_realaxs_real,h4s_transcs_exp(s(t_h4s_realaxs_real,h4s_transcs_ln(s(t_h4s_realaxs_real,X2)))))=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,X2))))),file('i/f/transc/LN__MUL', ah4s_transcs_EXPu_u_LN)).
fof(5, 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)))))=>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_realaxs_realu_u_mul(s(t_h4s_realaxs_real,X2),s(t_h4s_realaxs_real,X1))))))),file('i/f/transc/LN__MUL', ah4s_reals_REALu_u_LTu_u_MUL)).
fof(6, axiom,p(s(t_bool,t)),file('i/f/transc/LN__MUL', aHLu_TRUTH)).
fof(10, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)<=>p(s(t_bool,X4))),file('i/f/transc/LN__MUL', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(11, axiom,![X1]:![X2]:(s(t_h4s_realaxs_real,h4s_transcs_exp(s(t_h4s_realaxs_real,X2)))=s(t_h4s_realaxs_real,h4s_transcs_exp(s(t_h4s_realaxs_real,X1)))<=>s(t_h4s_realaxs_real,X2)=s(t_h4s_realaxs_real,X1)),file('i/f/transc/LN__MUL', ah4s_transcs_EXPu_u_INJ)).
# SZS output end CNFRefutation
