# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, axiom,p(s(t_bool,t)),file('i/f/transc/EXP__MONO__IMP', aHLu_TRUTH)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/transc/EXP__MONO__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/transc/EXP__MONO__IMP', aHLu_BOOLu_CASES)).
fof(8, axiom,![X9]:![X8]:![X6]:s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,X8),s(t_h4s_realaxs_real,X9)))))=s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,X8))),s(t_h4s_realaxs_real,X9))),file('i/f/transc/EXP__MONO__IMP', ah4s_reals_REALu_u_MULu_u_ASSOC)).
fof(9, axiom,![X6]:s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(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,X6)))=s(t_h4s_realaxs_real,X6),file('i/f/transc/EXP__MONO__IMP', ah4s_reals_REALu_u_MULu_u_LID)).
fof(10, 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/transc/EXP__MONO__IMP', ah4s_reals_realu_u_div)).
fof(11, axiom,![X6]:s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,X6),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,X6),file('i/f/transc/EXP__MONO__IMP', ah4s_reals_REALu_u_MULu_u_RID)).
fof(12, axiom,![X8]:![X6]: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_sub(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,X8)))))=s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X8),s(t_h4s_realaxs_real,X6))),file('i/f/transc/EXP__MONO__IMP', ah4s_reals_REALu_u_SUBu_u_LT)).
fof(13, axiom,![X9]:![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,X9))))=>s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,X9))),s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(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,X6),s(t_h4s_realaxs_real,X8)))),file('i/f/transc/EXP__MONO__IMP', ah4s_reals_REALu_u_LTu_u_RMUL)).
fof(14, axiom,![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_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))))),s(t_h4s_realaxs_real,h4s_transcs_exp(s(t_h4s_realaxs_real,X6))))))),file('i/f/transc/EXP__MONO__IMP', ah4s_transcs_EXPu_u_LTu_u_1)).
fof(15, axiom,![X6]:s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,h4s_transcs_exp(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_neg(s(t_h4s_realaxs_real,X6))))),s(t_h4s_realaxs_real,h4s_transcs_exp(s(t_h4s_realaxs_real,X6)))))=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/EXP__MONO__IMP', ah4s_transcs_EXPu_u_NEGu_u_MUL2)).
fof(16, axiom,![X6]:s(t_h4s_realaxs_real,h4s_transcs_exp(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_neg(s(t_h4s_realaxs_real,X6)))))=s(t_h4s_realaxs_real,h4s_realaxs_inv(s(t_h4s_realaxs_real,h4s_transcs_exp(s(t_h4s_realaxs_real,X6))))),file('i/f/transc/EXP__MONO__IMP', ah4s_transcs_EXPu_u_NEG)).
fof(17, axiom,![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,h4s_transcs_exp(s(t_h4s_realaxs_real,X6)))))),file('i/f/transc/EXP__MONO__IMP', ah4s_transcs_EXPu_u_POSu_u_LT)).
fof(18, axiom,![X8]:![X6]:s(t_h4s_realaxs_real,h4s_transcs_exp(s(t_h4s_realaxs_real,h4s_reals_realu_u_sub(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,X8)))))=s(t_h4s_realaxs_real,h4s_reals_u_2f(s(t_h4s_realaxs_real,h4s_transcs_exp(s(t_h4s_realaxs_real,X6))),s(t_h4s_realaxs_real,h4s_transcs_exp(s(t_h4s_realaxs_real,X8))))),file('i/f/transc/EXP__MONO__IMP', ah4s_transcs_EXPu_u_SUB)).
fof(19, conjecture,![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_realaxs_realu_u_lt(s(t_h4s_realaxs_real,h4s_transcs_exp(s(t_h4s_realaxs_real,X6))),s(t_h4s_realaxs_real,h4s_transcs_exp(s(t_h4s_realaxs_real,X8))))))),file('i/f/transc/EXP__MONO__IMP', ch4s_transcs_EXPu_u_MONOu_u_IMP)).
# SZS output end CNFRefutation
