# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:p(s(t_bool,h4s_arithmetics_modeq(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X1)))),file('i/f/arithmetic/MODEQ__REFL', ch4s_arithmetics_MODEQu_u_REFL)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/arithmetic/MODEQ__REFL', aHLu_FALSITY)).
fof(41, axiom,![X3]:(s(t_bool,X3)=s(t_bool,f)<=>~(p(s(t_bool,X3)))),file('i/f/arithmetic/MODEQ__REFL', ah4s_bools_EQu_u_CLAUSESu_c3)).
fof(55, axiom,![X2]:![X21]:![X22]:(p(s(t_bool,h4s_arithmetics_modeq(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X22),s(t_h4s_nums_num,X21))))<=>?[X23]:?[X24]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X23),s(t_h4s_nums_num,X2))),s(t_h4s_nums_num,X22)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X24),s(t_h4s_nums_num,X2))),s(t_h4s_nums_num,X21)))),file('i/f/arithmetic/MODEQ__REFL', ah4s_arithmetics_MODEQu_u_DEF)).
# SZS output end CNFRefutation
