# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X1)))))),file('i/f/arithmetic/LESS__EQ__SUC__REFL', ch4s_arithmetics_LESSu_u_EQu_u_SUCu_u_REFL)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/arithmetic/LESS__EQ__SUC__REFL', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/arithmetic/LESS__EQ__SUC__REFL', aHLu_FALSITY)).
fof(7, 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/arithmetic/LESS__EQ__SUC__REFL', ah4s_primu_u_recs_LESSu_u_SUCu_u_REFL)).
fof(8, axiom,![X3]:![X1]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X3))))<=>(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X3))))|s(t_h4s_nums_num,X1)=s(t_h4s_nums_num,X3))),file('i/f/arithmetic/LESS__EQ__SUC__REFL', ah4s_arithmetics_LESSu_u_ORu_u_EQ)).
fof(9, axiom,![X2]:(s(t_bool,X2)=s(t_bool,t)|s(t_bool,X2)=s(t_bool,f)),file('i/f/arithmetic/LESS__EQ__SUC__REFL', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
