# 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))))=>?[X2]:s(t_h4s_realaxs_real,h4s_transcs_exp(s(t_h4s_realaxs_real,X2)))=s(t_h4s_realaxs_real,X1)),file('i/f/transc/EXP__TOTAL', ch4s_transcs_EXPu_u_TOTAL)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/transc/EXP__TOTAL', aHLu_TRUTH)).
fof(8, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t)<=>p(s(t_bool,X3))),file('i/f/transc/EXP__TOTAL', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(9, axiom,![X1]:![X2]:(p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X2),s(t_h4s_realaxs_real,X1))))=>~(s(t_h4s_realaxs_real,X2)=s(t_h4s_realaxs_real,X1))),file('i/f/transc/EXP__TOTAL', ah4s_reals_REALu_u_LTu_u_IMPu_u_NE)).
fof(10, axiom,![X1]:![X2]:(p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X2),s(t_h4s_realaxs_real,X1))))|p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,X2))))),file('i/f/transc/EXP__TOTAL', ah4s_reals_REALu_u_LETu_u_TOTAL)).
fof(11, axiom,![X1]:![X2]:(p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X2),s(t_h4s_realaxs_real,X1))))=>p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X2),s(t_h4s_realaxs_real,X1))))),file('i/f/transc/EXP__TOTAL', ah4s_reals_REALu_u_LTu_u_IMPu_u_LE)).
fof(12, axiom,![X2]:(~(s(t_h4s_realaxs_real,X2)=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,h4s_realaxs_inv(s(t_h4s_realaxs_real,X2)))))=s(t_h4s_realaxs_real,X2)),file('i/f/transc/EXP__TOTAL', ah4s_reals_REALu_u_INVINV)).
fof(13, axiom,![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,X2),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)))))))))))=>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_realaxs_inv(s(t_h4s_realaxs_real,X2))))))),file('i/f/transc/EXP__TOTAL', ah4s_reals_REALu_u_INVu_u_LT1)).
fof(14, axiom,![X2]:s(t_h4s_realaxs_real,h4s_transcs_exp(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_neg(s(t_h4s_realaxs_real,X2)))))=s(t_h4s_realaxs_real,h4s_realaxs_inv(s(t_h4s_realaxs_real,h4s_transcs_exp(s(t_h4s_realaxs_real,X2))))),file('i/f/transc/EXP__TOTAL', ah4s_transcs_EXPu_u_NEG)).
fof(15, 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_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))))),s(t_h4s_realaxs_real,X1))))=>?[X2]:(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,X2))))&(p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X2),s(t_h4s_realaxs_real,h4s_reals_realu_u_sub(s(t_h4s_realaxs_real,X1),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,X2)))=s(t_h4s_realaxs_real,X1)))),file('i/f/transc/EXP__TOTAL', ah4s_transcs_EXPu_u_TOTALu_u_LEMMA)).
fof(16, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t)|s(t_bool,X3)=s(t_bool,f)),file('i/f/transc/EXP__TOTAL', aHLu_BOOLu_CASES)).
fof(17, axiom,~(p(s(t_bool,f))),file('i/f/transc/EXP__TOTAL', aHLu_FALSITY)).
# SZS output end CNFRefutation
