# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:s(t_h4s_nums_num,h4s_primu_u_recs_pre(s(t_h4s_nums_num,X1)))=s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))))),file('i/f/arithmetic/PRE__SUB1', ch4s_arithmetics_PREu_u_SUB1)).
fof(5, axiom,s(t_h4s_nums_num,h4s_primu_u_recs_pre(s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,h4s_nums_0),file('i/f/arithmetic/PRE__SUB1', ah4s_primu_u_recs_PRE0u_c0)).
fof(6, axiom,![X1]:s(t_h4s_nums_num,h4s_primu_u_recs_pre(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X1)))))=s(t_h4s_nums_num,X1),file('i/f/arithmetic/PRE__SUB1', ah4s_primu_u_recs_PRE0u_c1)).
fof(7, axiom,![X1]:s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X1)))=s(t_h4s_nums_num,h4s_nums_0),file('i/f/arithmetic/PRE__SUB1', ah4s_arithmetics_SUBu_c0)).
fof(8, axiom,![X1]:(s(t_h4s_nums_num,X1)=s(t_h4s_nums_num,h4s_nums_0)|?[X4]:s(t_h4s_nums_num,X1)=s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X4)))),file('i/f/arithmetic/PRE__SUB1', ah4s_arithmetics_numu_u_CASES)).
fof(9, axiom,![X1]:s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X1))),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero)))))))=s(t_h4s_nums_num,X1),file('i/f/arithmetic/PRE__SUB1', ah4s_arithmetics_SUCu_u_SUB1)).
# SZS output end CNFRefutation
