# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,X2)))=s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,X1)))<=>s(t_h4s_nums_num,X2)=s(t_h4s_nums_num,X1)),file('i/f/real/REAL__OF__NUM__EQ', ch4s_reals_REALu_u_OFu_u_NUMu_u_EQ)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/real/REAL__OF__NUM__EQ', aHLu_TRUTH)).
fof(8, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)<=>p(s(t_bool,X5))),file('i/f/real/REAL__OF__NUM__EQ', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(9, axiom,![X2]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X2)))),file('i/f/real/REAL__OF__NUM__EQ', ah4s_arithmetics_LESSu_u_EQu_u_REFL)).
fof(10, axiom,![X1]:![X2]:((p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X2))))&p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1)))))=>s(t_h4s_nums_num,X1)=s(t_h4s_nums_num,X2)),file('i/f/real/REAL__OF__NUM__EQ', ah4s_arithmetics_LESSu_u_EQUALu_u_ANTISYM)).
fof(11, axiom,![X1]:![X2]: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,X2))),s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,X1)))))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1))),file('i/f/real/REAL__OF__NUM__EQ', ah4s_reals_REALu_u_LE)).
# SZS output end CNFRefutation
