# 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,h4s_arithmetics_bit2(s(t_h4s_nums_num,X1))),s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X2))))))<=>~(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1)))))),file('i/f/numeral/numeral__lte_c5', ch4s_numerals_numeralu_u_lteu_c5)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/numeral/numeral__lte_c5', aHLu_FALSITY)).
fof(10, axiom,![X6]:![X7]:((p(s(t_bool,X7))=>p(s(t_bool,X6)))=>((p(s(t_bool,X6))=>p(s(t_bool,X7)))=>s(t_bool,X7)=s(t_bool,X6))),file('i/f/numeral/numeral__lte_c5', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(11, axiom,![X3]:(s(t_bool,f)=s(t_bool,X3)<=>~(p(s(t_bool,X3)))),file('i/f/numeral/numeral__lte_c5', ah4s_bools_EQu_u_CLAUSESu_c2)).
fof(18, axiom,![X1]:![X2]:(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,X1)))=s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X2)))<=>p(s(t_bool,f))),file('i/f/numeral/numeral__lte_c5', ah4s_numerals_numeralu_u_equ_c5)).
fof(67, 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/numeral/numeral__lte_c5', ah4s_arithmetics_NOTu_u_LESS)).
fof(72, axiom,![X1]:![X2]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1))))<=>(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1))))|s(t_h4s_nums_num,X2)=s(t_h4s_nums_num,X1))),file('i/f/numeral/numeral__lte_c5', ah4s_arithmetics_LESSu_u_ORu_u_EQ)).
fof(81, axiom,![X1]:![X2]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,X1))),s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X2)))))=s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X2))),file('i/f/numeral/numeral__lte_c5', ah4s_numerals_numeralu_u_ltu_c6)).
# SZS output end CNFRefutation
