# 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,X1),s(t_h4s_nums_num,X2))))=>?[X3]: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/LESS__EQ__ADD__EXISTS', ch4s_arithmetics_LESSu_u_EQu_u_ADDu_u_EXISTS)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/arithmetic/LESS__EQ__ADD__EXISTS', aHLu_TRUTH)).
fof(8, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)<=>p(s(t_bool,X4))),file('i/f/arithmetic/LESS__EQ__ADD__EXISTS', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(13, axiom,![X1]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X1)))=s(t_h4s_nums_num,X1),file('i/f/arithmetic/LESS__EQ__ADD__EXISTS', ah4s_arithmetics_ADDu_c0)).
fof(14, 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_primu_u_recs_u_3c(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1))))|s(t_h4s_nums_num,X2)=s(t_h4s_nums_num,X1))),file('i/f/arithmetic/LESS__EQ__ADD__EXISTS', ah4s_arithmetics_LESSu_u_ORu_u_EQ)).
fof(15, axiom,![X1]:![X2]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X2))))=>?[X3]: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/LESS__EQ__ADD__EXISTS', ah4s_arithmetics_LESSu_u_ADD)).
# SZS output end CNFRefutation
