# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(p(s(t_bool,h4s_arithmetics_odd(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_odd(s(t_h4s_nums_num,X2)))=s(t_bool,h4s_arithmetics_odd(s(t_h4s_nums_num,X1))))),file('i/f/arithmetic/ODD__ADD', ch4s_arithmetics_ODDu_u_ADD)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/arithmetic/ODD__ADD', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/arithmetic/ODD__ADD', aHLu_FALSITY)).
fof(4, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t)|s(t_bool,X3)=s(t_bool,f)),file('i/f/arithmetic/ODD__ADD', aHLu_BOOLu_CASES)).
fof(11, axiom,![X3]:(s(t_bool,t)=s(t_bool,X3)<=>p(s(t_bool,X3))),file('i/f/arithmetic/ODD__ADD', ah4s_bools_EQu_u_CLAUSESu_c0)).
fof(12, axiom,![X3]:(s(t_bool,f)=s(t_bool,X3)<=>~(p(s(t_bool,X3)))),file('i/f/arithmetic/ODD__ADD', ah4s_bools_EQu_u_CLAUSESu_c2)).
fof(13, axiom,![X1]:(p(s(t_bool,h4s_arithmetics_odd(s(t_h4s_nums_num,X1))))<=>~(p(s(t_bool,h4s_arithmetics_even(s(t_h4s_nums_num,X1)))))),file('i/f/arithmetic/ODD__ADD', ah4s_arithmetics_ODDu_u_EVEN)).
fof(14, axiom,![X1]:![X2]:(p(s(t_bool,h4s_arithmetics_even(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_even(s(t_h4s_nums_num,X2)))=s(t_bool,h4s_arithmetics_even(s(t_h4s_nums_num,X1)))),file('i/f/arithmetic/ODD__ADD', ah4s_arithmetics_EVENu_u_ADD)).
# SZS output end CNFRefutation
