# 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_mul(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_mul(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_mul(s(t_h4s_realaxs_real,X3),s(t_h4s_realaxs_real,X2))),s(t_h4s_realaxs_real,X1)))))),file('i/f/real/mult__ratr', ch4s_reals_multu_u_ratr)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/real/mult__ratr', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/real/mult__ratr', aHLu_FALSITY)).
fof(6, axiom,![X6]:![X7]:((p(s(t_bool,X7))=>p(s(t_bool,X6)))=>((p(s(t_bool,X6))=>p(s(t_bool,X7)))=>s(t_bool,X7)=s(t_bool,X6))),file('i/f/real/mult__ratr', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(12, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)<=>p(s(t_bool,X5))),file('i/f/real/mult__ratr', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(13, axiom,![X8]:![X6]:![X7]:s(X8,h4s_bools_cond(s(t_bool,t),s(X8,X7),s(X8,X6)))=s(X8,X7),file('i/f/real/mult__ratr', ah4s_bools_CONDu_u_CLAUSESu_c0)).
fof(14, axiom,![X8]:![X6]:![X7]:s(X8,h4s_bools_cond(s(t_bool,f),s(X8,X7),s(X8,X6)))=s(X8,X6),file('i/f/real/mult__ratr', ah4s_bools_CONDu_u_CLAUSESu_c1)).
fof(19, 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_mul(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_mul(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_mul(s(t_h4s_realaxs_real,X3),s(t_h4s_realaxs_real,X1))),s(t_h4s_realaxs_real,X2)))))),file('i/f/real/mult__ratr', ah4s_reals_multu_u_ratl)).
fof(20, axiom,![X2]:![X3]:s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,X3),s(t_h4s_realaxs_real,X2)))=s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,X2),s(t_h4s_realaxs_real,X3))),file('i/f/real/mult__ratr', ah4s_reals_REALu_u_MULu_u_COMM)).
fof(21, axiom,![X1]:![X2]:![X3]:(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,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,X2),s(t_h4s_realaxs_real,X1)))<=>(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,X3)=s(t_h4s_realaxs_real,X2))),file('i/f/real/mult__ratr', ah4s_reals_REALu_u_EQu_u_RMUL)).
fof(22, axiom,![X8]:![X3]:s(X8,h4s_markers_unint(s(X8,X3)))=s(X8,X3),file('i/f/real/mult__ratr', ah4s_markers_unintu_u_def)).
# SZS output end CNFRefutation
