# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:s(t_bool,h4s_arithmetics_u_3eu_3d(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1)))))=s(t_bool,h4s_arithmetics_u_3eu_3d(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X1))),s(t_h4s_nums_num,X2))),file('i/f/arithmetic/SUB__LEFT__GREATER__EQ', ch4s_arithmetics_SUBu_u_LEFTu_u_GREATERu_u_EQ)).
fof(6, axiom,![X2]:![X3]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X3),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,X3))),file('i/f/arithmetic/SUB__LEFT__GREATER__EQ', ah4s_arithmetics_ADDu_u_SYM)).
fof(7, axiom,![X2]:![X3]:(p(s(t_bool,h4s_arithmetics_u_3eu_3d(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X2))))<=>(p(s(t_bool,h4s_arithmetics_u_3e(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X2))))|s(t_h4s_nums_num,X3)=s(t_h4s_nums_num,X2))),file('i/f/arithmetic/SUB__LEFT__GREATER__EQ', ah4s_arithmetics_GREATERu_u_ORu_u_EQ)).
fof(8, axiom,![X2]:![X3]:s(t_bool,h4s_arithmetics_u_3e(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X2)))=s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X3))),file('i/f/arithmetic/SUB__LEFT__GREATER__EQ', ah4s_arithmetics_GREATERu_u_DEF)).
fof(9, axiom,![X2]:![X3]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X2))))<=>(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X2))))|s(t_h4s_nums_num,X3)=s(t_h4s_nums_num,X2))),file('i/f/arithmetic/SUB__LEFT__GREATER__EQ', ah4s_arithmetics_LESSu_u_ORu_u_EQ)).
fof(10, axiom,![X1]:![X2]:![X3]:s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X2))),s(t_h4s_nums_num,X1)))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X3),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__LEFT__GREATER__EQ', ah4s_arithmetics_SUBu_u_RIGHTu_u_LESSu_u_EQ)).
fof(11, axiom,~(p(s(t_bool,f))),file('i/f/arithmetic/SUB__LEFT__GREATER__EQ', aHLu_FALSITY)).
fof(12, axiom,![X7]:(s(t_bool,X7)=s(t_bool,t)|s(t_bool,X7)=s(t_bool,f)),file('i/f/arithmetic/SUB__LEFT__GREATER__EQ', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
