# 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,X2),s(t_h4s_nums_num,X1))))<=>?[X3]:s(t_h4s_nums_num,X1)=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X3)))),file('i/f/arithmetic/LESS__EQ__EXISTS', ch4s_arithmetics_LESSu_u_EQu_u_EXISTS)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/arithmetic/LESS__EQ__EXISTS', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/arithmetic/LESS__EQ__EXISTS', aHLu_FALSITY)).
fof(4, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)|s(t_bool,X4)=s(t_bool,f)),file('i/f/arithmetic/LESS__EQ__EXISTS', aHLu_BOOLu_CASES)).
fof(6, 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/LESS__EQ__EXISTS', ah4s_arithmetics_LESSu_u_EQu_u_ADD)).
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,X1))))=>?[X3]:s(t_h4s_nums_num,X1)=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X3)))),file('i/f/arithmetic/LESS__EQ__EXISTS', ah4s_arithmetics_LESSu_u_EQUALu_u_ADD)).
# SZS output end CNFRefutation
