# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X2))),s(t_h4s_nums_num,X1)))),file('i/f/arithmetic/SUB__LESS__EQ', ch4s_arithmetics_SUBu_u_LESSu_u_EQ)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/arithmetic/SUB__LESS__EQ', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/arithmetic/SUB__LESS__EQ', aHLu_FALSITY)).
fof(6, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)<=>p(s(t_bool,X4))),file('i/f/arithmetic/SUB__LESS__EQ', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(7, axiom,![X1]:![X2]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1)))))),file('i/f/arithmetic/SUB__LESS__EQ', ah4s_arithmetics_LESSu_u_EQu_u_ADD)).
fof(8, axiom,![X1]:![X2]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X2))),file('i/f/arithmetic/SUB__LESS__EQ', ah4s_arithmetics_ADDu_u_SYM)).
fof(9, axiom,![X6]:![X7]:![X8]:s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X8),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X7),s(t_h4s_nums_num,X6)))))=s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X8),s(t_h4s_nums_num,X7))),s(t_h4s_nums_num,X6))),file('i/f/arithmetic/SUB__LESS__EQ', ah4s_arithmetics_SUBu_u_PLUS)).
fof(10, axiom,![X1]:![X2]:(s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1)))=s(t_h4s_nums_num,h4s_nums_0)<=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1))))),file('i/f/arithmetic/SUB__LESS__EQ', ah4s_arithmetics_SUBu_u_EQu_u_0)).
fof(11, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)|s(t_bool,X4)=s(t_bool,f)),file('i/f/arithmetic/SUB__LESS__EQ', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
