# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X1))))))<=>(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1))))|s(t_h4s_nums_num,X2)=s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X1))))),file('i/f/util_prob/LE__SUC', ch4s_utilu_u_probs_LEu_u_SUC)).
fof(2, axiom,![X3]:![X4]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X4),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X3))))))<=>(s(t_h4s_nums_num,X4)=s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X3)))|p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X4),s(t_h4s_nums_num,X3)))))),file('i/f/util_prob/LE__SUC', ah4s_arithmetics_LEu_c1)).
fof(7, axiom,![X3]:![X4]:s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X3))),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X4)))))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X4))),file('i/f/util_prob/LE__SUC', ah4s_arithmetics_LESSu_u_EQu_u_MONO)).
fof(34, axiom,![X3]:p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X3)))))),file('i/f/util_prob/LE__SUC', ah4s_primu_u_recs_LESSu_u_SUCu_u_REFL)).
fof(39, axiom,![X3]:![X4]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X4),s(t_h4s_nums_num,X3)))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X4))),s(t_h4s_nums_num,X3))),file('i/f/util_prob/LE__SUC', ah4s_arithmetics_LESSu_u_EQ)).
fof(56, axiom,~(p(s(t_bool,f))),file('i/f/util_prob/LE__SUC', aHLu_FALSITY)).
fof(73, axiom,![X8]:(s(t_bool,f)=s(t_bool,X8)<=>~(p(s(t_bool,X8)))),file('i/f/util_prob/LE__SUC', ah4s_bools_EQu_u_CLAUSESu_c2)).
# SZS output end CNFRefutation
