# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:?[X4]:((p(s(t_bool,X4))<=>s(t_h4s_realaxs_real,X1)=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_add(s(t_h4s_realaxs_real,X3),s(t_h4s_realaxs_real,h4s_reals_u_2f(s(t_h4s_realaxs_real,X2),s(t_h4s_realaxs_real,X1)))))=s(t_h4s_realaxs_real,h4s_bools_cond(s(t_bool,X4),s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,X3),s(t_h4s_realaxs_real,h4s_markers_unint(s(t_h4s_realaxs_real,h4s_reals_u_2f(s(t_h4s_realaxs_real,X2),s(t_h4s_realaxs_real,X1))))))),s(t_h4s_realaxs_real,h4s_reals_u_2f(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,X3),s(t_h4s_realaxs_real,X1))),s(t_h4s_realaxs_real,X2))),s(t_h4s_realaxs_real,X1)))))),file('i/f/real/add__ratr', ch4s_reals_addu_u_ratr)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/real/add__ratr', aHLu_TRUTH)).
fof(7, axiom,![X5]:![X9]:![X2]:![X10]:![X3]:![X11]:![X12]:((s(t_bool,X12)=s(t_bool,X11)&((p(s(t_bool,X11))=>s(X5,X3)=s(X5,X10))&(~(p(s(t_bool,X11)))=>s(X5,X2)=s(X5,X9))))=>s(X5,h4s_bools_cond(s(t_bool,X12),s(X5,X3),s(X5,X2)))=s(X5,h4s_bools_cond(s(t_bool,X11),s(X5,X10),s(X5,X9)))),file('i/f/real/add__ratr', ah4s_bools_CONDu_u_CONG)).
fof(8, axiom,![X2]:![X3]:s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,X3),s(t_h4s_realaxs_real,X2)))=s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,X2),s(t_h4s_realaxs_real,X3))),file('i/f/real/add__ratr', ah4s_reals_REALu_u_ADDu_u_COMM)).
fof(9, axiom,![X1]:![X2]:![X3]:?[X4]:((p(s(t_bool,X4))<=>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_realu_u_add(s(t_h4s_realaxs_real,h4s_reals_u_2f(s(t_h4s_realaxs_real,X3),s(t_h4s_realaxs_real,X2))),s(t_h4s_realaxs_real,X1)))=s(t_h4s_realaxs_real,h4s_bools_cond(s(t_bool,X4),s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,h4s_markers_unint(s(t_h4s_realaxs_real,h4s_reals_u_2f(s(t_h4s_realaxs_real,X3),s(t_h4s_realaxs_real,X2))))),s(t_h4s_realaxs_real,X1))),s(t_h4s_realaxs_real,h4s_reals_u_2f(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,X3),s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,X2))))),s(t_h4s_realaxs_real,X2)))))),file('i/f/real/add__ratr', ah4s_reals_addu_u_ratl)).
fof(10, axiom,~(p(s(t_bool,f))),file('i/f/real/add__ratr', aHLu_FALSITY)).
fof(11, axiom,![X13]:(s(t_bool,X13)=s(t_bool,t)|s(t_bool,X13)=s(t_bool,f)),file('i/f/real/add__ratr', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
