# 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,X2))),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X1)))))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1))),file('i/f/arithmetic/ADD__MONO__LESS__EQ', ch4s_arithmetics_ADDu_u_MONOu_u_LESSu_u_EQ)).
fof(5, axiom,![X7]:![X1]:![X2]:![X3]:((p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X1))))&p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X7)))))=>p(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,X2))),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X7))))))),file('i/f/arithmetic/ADD__MONO__LESS__EQ', ah4s_arithmetics_LESSu_u_EQu_u_LESSu_u_EQu_u_MONO)).
fof(10, axiom,![X3]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X3)))),file('i/f/arithmetic/ADD__MONO__LESS__EQ', ah4s_arithmetics_LESSu_u_EQu_u_REFL)).
fof(14, axiom,![X2]:![X3]:((p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X3))))&p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X2)))))=>s(t_h4s_nums_num,X2)=s(t_h4s_nums_num,X3)),file('i/f/arithmetic/ADD__MONO__LESS__EQ', ah4s_arithmetics_LESSu_u_EQUALu_u_ANTISYM)).
fof(16, axiom,![X2]:![X3]:(s(t_h4s_nums_num,X3)=s(t_h4s_nums_num,X2)<=>(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_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X3)))))),file('i/f/arithmetic/ADD__MONO__LESS__EQ', ah4s_arithmetics_EQu_u_LESSu_u_EQ)).
fof(19, 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_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X3))))),file('i/f/arithmetic/ADD__MONO__LESS__EQ', ah4s_arithmetics_LESSu_u_EQu_u_CASES)).
fof(22, axiom,![X8]:![X9]:((p(s(t_bool,X9))=>p(s(t_bool,X8)))=>((p(s(t_bool,X8))=>p(s(t_bool,X9)))=>s(t_bool,X9)=s(t_bool,X8))),file('i/f/arithmetic/ADD__MONO__LESS__EQ', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(39, 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/ADD__MONO__LESS__EQ', ah4s_arithmetics_EQu_u_MONOu_u_ADDu_u_EQ)).
fof(41, 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/ADD__MONO__LESS__EQ', ah4s_arithmetics_ADDu_u_SYM)).
# SZS output end CNFRefutation
