# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X1))))=>![X2]:s(t_h4s_nums_num,h4s_arithmetics_mod(s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1))),s(t_h4s_nums_num,X1)))=s(t_h4s_nums_num,h4s_nums_0)),file('i/f/arithmetic/MOD__EQ__0', ch4s_arithmetics_MODu_u_EQu_u_0)).
fof(7, axiom,![X6]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X6),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,X6),file('i/f/arithmetic/MOD__EQ__0', ah4s_arithmetics_ADDu_u_CLAUSESu_c1)).
fof(8, axiom,![X7]:![X1]:![X2]:(?[X8]:(s(t_h4s_nums_num,X2)=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X8),s(t_h4s_nums_num,X1))),s(t_h4s_nums_num,X7)))&p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X7),s(t_h4s_nums_num,X1)))))=>s(t_h4s_nums_num,h4s_arithmetics_mod(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1)))=s(t_h4s_nums_num,X7)),file('i/f/arithmetic/MOD__EQ__0', ah4s_arithmetics_MODu_u_UNIQUE)).
# SZS output end CNFRefutation
