# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:((p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X4),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,X1)))))=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X4),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/LESS__EQ__LESS__EQ__MONO', ch4s_arithmetics_LESSu_u_EQu_u_LESSu_u_EQu_u_MONO)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/arithmetic/LESS__EQ__LESS__EQ__MONO', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/arithmetic/LESS__EQ__LESS__EQ__MONO', aHLu_FALSITY)).
fof(4, axiom,![X2]:![X3]:![X4]:((p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X4),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)))))=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X4),s(t_h4s_nums_num,X2))))),file('i/f/arithmetic/LESS__EQ__LESS__EQ__MONO', ah4s_arithmetics_LESSu_u_EQu_u_TRANS)).
fof(5, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)|s(t_bool,X5)=s(t_bool,f)),file('i/f/arithmetic/LESS__EQ__LESS__EQ__MONO', aHLu_BOOLu_CASES)).
fof(6, axiom,![X3]:![X4]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X4),s(t_h4s_nums_num,X3)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X4))),file('i/f/arithmetic/LESS__EQ__LESS__EQ__MONO', ah4s_arithmetics_ADDu_u_SYM)).
fof(7, axiom,![X2]:![X3]:![X4]:s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X4),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,X2)))))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X4),s(t_h4s_nums_num,X3))),file('i/f/arithmetic/LESS__EQ__LESS__EQ__MONO', ah4s_arithmetics_LESSu_u_EQu_u_MONOu_u_ADDu_u_EQ)).
# SZS output end CNFRefutation
