# 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_2a(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1))))))<=>(p(s(t_bool,h4s_arithmetics_odd(s(t_h4s_nums_num,X2))))&p(s(t_bool,h4s_arithmetics_odd(s(t_h4s_nums_num,X1)))))),file('i/f/arithmetic/ODD__MULT', ch4s_arithmetics_ODDu_u_MULT)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/arithmetic/ODD__MULT', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/arithmetic/ODD__MULT', aHLu_FALSITY)).
fof(7, 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__MULT', ah4s_arithmetics_ODDu_u_EVEN)).
fof(8, axiom,![X1]:![X2]:(p(s(t_bool,h4s_arithmetics_even(s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1))))))<=>(p(s(t_bool,h4s_arithmetics_even(s(t_h4s_nums_num,X2))))|p(s(t_bool,h4s_arithmetics_even(s(t_h4s_nums_num,X1)))))),file('i/f/arithmetic/ODD__MULT', ah4s_arithmetics_EVENu_u_MULT)).
fof(9, axiom,![X7]:(s(t_bool,X7)=s(t_bool,t)|s(t_bool,X7)=s(t_bool,f)),file('i/f/arithmetic/ODD__MULT', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
