# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(~(p(s(t_bool,h4s_arithmetics_u_3eu_3d(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1)))))<=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X2))),s(t_h4s_nums_num,X1))))),file('i/f/arithmetic/NOT__GREATER__EQ', ch4s_arithmetics_NOTu_u_GREATERu_u_EQ)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/arithmetic/NOT__GREATER__EQ', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/arithmetic/NOT__GREATER__EQ', aHLu_FALSITY)).
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)))))<=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X1))),s(t_h4s_nums_num,X2))))),file('i/f/arithmetic/NOT__GREATER__EQ', ah4s_arithmetics_NOTu_u_LEQ)).
fof(8, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)|s(t_bool,X4)=s(t_bool,f)),file('i/f/arithmetic/NOT__GREATER__EQ', aHLu_BOOLu_CASES)).
fof(9, axiom,![X1]:![X2]:s(t_bool,h4s_arithmetics_u_3eu_3d(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X2)))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1))),file('i/f/arithmetic/NOT__GREATER__EQ', ah4s_arithmetics_GREATERu_u_EQ)).
# SZS output end CNFRefutation
