# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:s(t_bool,h4s_arithmetics_u_3cu_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,h4s_arithmetics_u_2b(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,X2))),file('i/f/arithmetic/LESS__EQ__MONO__ADD__EQ', ch4s_arithmetics_LESSu_u_EQu_u_MONOu_u_ADDu_u_EQ)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/arithmetic/LESS__EQ__MONO__ADD__EQ', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/arithmetic/LESS__EQ__MONO__ADD__EQ', 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__MONO__ADD__EQ', aHLu_BOOLu_CASES)).
fof(7, 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/LESS__EQ__MONO__ADD__EQ', ah4s_arithmetics_LESSu_u_ORu_u_EQ)).
fof(8, axiom,![X1]:![X2]:![X3]:s(t_bool,h4s_primu_u_recs_u_3c(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,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1)))))=s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X2))),file('i/f/arithmetic/LESS__EQ__MONO__ADD__EQ', ah4s_arithmetics_LESSu_u_MONOu_u_ADDu_u_EQ)).
fof(9, axiom,![X1]:![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,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1)))<=>s(t_h4s_nums_num,X3)=s(t_h4s_nums_num,X2)),file('i/f/arithmetic/LESS__EQ__MONO__ADD__EQ', ah4s_arithmetics_EQu_u_MONOu_u_ADDu_u_EQ)).
# SZS output end CNFRefutation
