# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X1)))))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1))),file('i/f/float/LT__SUC__LE', ch4s_floats_LTu_u_SUCu_u_LE)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/float/LT__SUC__LE', aHLu_FALSITY)).
fof(22, axiom,![X1]:![X2]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1)))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X2))),s(t_h4s_nums_num,X1))),file('i/f/float/LT__SUC__LE', ah4s_arithmetics_LESSu_u_EQ)).
fof(23, axiom,![X1]:![X2]:(~(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1)))))<=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X2))))),file('i/f/float/LT__SUC__LE', ah4s_arithmetics_NOTu_u_LESS)).
fof(28, axiom,![X1]:s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X1))),s(t_h4s_nums_num,h4s_arithmetics_zero)))=s(t_bool,f),file('i/f/float/LT__SUC__LE', ah4s_numerals_numeralu_u_lteu_c1)).
fof(32, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)|s(t_bool,X4)=s(t_bool,f)),file('i/f/float/LT__SUC__LE', aHLu_BOOLu_CASES)).
fof(35, axiom,p(s(t_bool,t)),file('i/f/float/LT__SUC__LE', aHLu_TRUTH)).
fof(37, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)<=>p(s(t_bool,X4))),file('i/f/float/LT__SUC__LE', ah4s_bools_EQu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
