# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,h4s_arithmetics_exp(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X1))),s(t_h4s_nums_num,X2)))))),file('i/f/arithmetic/ZERO__LESS__EXP', ch4s_arithmetics_ZEROu_u_LESSu_u_EXP)).
fof(5, axiom,![X2]:(s(t_h4s_nums_num,h4s_nums_0)=s(t_h4s_nums_num,X2)|p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X2))))),file('i/f/arithmetic/ZERO__LESS__EXP', ah4s_arithmetics_LESSu_u_0u_u_CASES)).
fof(7, axiom,![X1]:![X2]:~(s(t_h4s_nums_num,h4s_arithmetics_exp(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X1))),s(t_h4s_nums_num,X2)))=s(t_h4s_nums_num,h4s_nums_0)),file('i/f/arithmetic/ZERO__LESS__EXP', ah4s_arithmetics_NOTu_u_EXPu_u_0)).
# SZS output end CNFRefutation
