# 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)))))<=>p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X2))))),file('i/f/arithmetic/NOT__LESS__EQUAL', ch4s_arithmetics_NOTu_u_LESSu_u_EQUAL)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/arithmetic/NOT__LESS__EQUAL', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/arithmetic/NOT__LESS__EQUAL', aHLu_FALSITY)).
fof(8, axiom,![X1]:![X2]:(~(p(s(t_bool,h4s_primu_u_recs_u_3c(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,X1),s(t_h4s_nums_num,X2))))),file('i/f/arithmetic/NOT__LESS__EQUAL', ah4s_arithmetics_NOTu_u_LESS)).
fof(10, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)|s(t_bool,X4)=s(t_bool,f)),file('i/f/arithmetic/NOT__LESS__EQUAL', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
