# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(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)<=>?[X4]:((p(s(t_bool,X4))<=>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))&?[X5]:((p(s(t_bool,X5))<=>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))))&?[X6]:((p(s(t_bool,X6))<=>s(t_h4s_realaxs_real,X3)=s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,X2),s(t_h4s_realaxs_real,X1))))&p(s(t_bool,h4s_bools_cond(s(t_bool,X5),s(t_bool,X4),s(t_bool,X6)))))))),file('i/f/real/eq__ratl', ch4s_reals_equ_u_ratl)).
fof(20, axiom,![X17]:![X7]:![X8]:s(X17,h4s_bools_cond(s(t_bool,t),s(X17,X8),s(X17,X7)))=s(X17,X8),file('i/f/real/eq__ratl', ah4s_bools_CONDu_u_CLAUSESu_c0)).
fof(21, axiom,![X17]:![X7]:![X8]:s(X17,h4s_bools_cond(s(t_bool,f),s(X17,X8),s(X17,X7)))=s(X17,X7),file('i/f/real/eq__ratl', ah4s_bools_CONDu_u_CLAUSESu_c1)).
fof(23, 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,X2)))=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,X3)=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)=s(t_h4s_realaxs_real,X1))),file('i/f/real/eq__ratl', ah4s_reals_REALu_u_EQu_u_LMUL)).
fof(24, axiom,![X17]:![X3]:s(X17,h4s_markers_unint(s(X17,X3)))=s(X17,X3),file('i/f/real/eq__ratl', ah4s_markers_unintu_u_def)).
fof(25, axiom,![X2]:![X3]:(~(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,X2),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,X3)),file('i/f/real/eq__ratl', ah4s_reals_REALu_u_DIVu_u_LMUL)).
fof(26, axiom,p(s(t_bool,t)),file('i/f/real/eq__ratl', aHLu_TRUTH)).
fof(27, axiom,![X9]:(s(t_bool,X9)=s(t_bool,t)|s(t_bool,X9)=s(t_bool,f)),file('i/f/real/eq__ratl', aHLu_BOOLu_CASES)).
fof(31, axiom,~(p(s(t_bool,f))),file('i/f/real/eq__ratl', aHLu_FALSITY)).
# SZS output end CNFRefutation
