# 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))))<=>s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_primu_u_recs_pre(s(t_h4s_nums_num,X1)))))=s(t_h4s_nums_num,X1)),file('i/f/arithmetic/SUC__PRE', ch4s_arithmetics_SUCu_u_PRE)).
fof(17, axiom,![X1]:(s(t_h4s_nums_num,h4s_nums_0)=s(t_h4s_nums_num,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))))),file('i/f/arithmetic/SUC__PRE', ah4s_arithmetics_LESSu_u_0u_u_CASES)).
fof(21, axiom,![X4]:(~(s(t_h4s_nums_num,X4)=s(t_h4s_nums_num,h4s_nums_0))<=>p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X4))))),file('i/f/arithmetic/SUC__PRE', ah4s_arithmetics_NOTu_u_ZEROu_u_LTu_u_ZERO)).
fof(37, 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/SUC__PRE', ah4s_arithmetics_numu_u_CASES)).
fof(38, axiom,![X4]:~(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X4)))=s(t_h4s_nums_num,h4s_nums_0)),file('i/f/arithmetic/SUC__PRE', ah4s_nums_NOTu_u_SUC)).
fof(48, 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/SUC__PRE', ah4s_primu_u_recs_PRE0u_c1)).
fof(55, 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/SUC__PRE', ah4s_primu_u_recs_PRE0u_c0)).
# SZS output end CNFRefutation
