# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:(s(t_h4s_nums_num,h4s_numpairs_ncons(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1)))=s(t_h4s_nums_num,h4s_numpairs_ncons(s(t_h4s_nums_num,X4),s(t_h4s_nums_num,X3)))<=>(s(t_h4s_nums_num,X2)=s(t_h4s_nums_num,X4)&s(t_h4s_nums_num,X1)=s(t_h4s_nums_num,X3))),file('i/f/numpair/ncons__11', ch4s_numpairs_nconsu_u_11)).
fof(7, axiom,![X6]:![X7]:![X8]:(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X8),s(t_h4s_nums_num,X6)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X7),s(t_h4s_nums_num,X6)))<=>s(t_h4s_nums_num,X8)=s(t_h4s_nums_num,X7)),file('i/f/numpair/ncons__11', ah4s_arithmetics_EQu_u_MONOu_u_ADDu_u_EQ)).
fof(8, axiom,![X9]:![X10]:![X11]:![X12]:(s(t_h4s_nums_num,h4s_numpairs_npair(s(t_h4s_nums_num,X12),s(t_h4s_nums_num,X10)))=s(t_h4s_nums_num,h4s_numpairs_npair(s(t_h4s_nums_num,X11),s(t_h4s_nums_num,X9)))<=>(s(t_h4s_nums_num,X12)=s(t_h4s_nums_num,X11)&s(t_h4s_nums_num,X10)=s(t_h4s_nums_num,X9))),file('i/f/numpair/ncons__11', ah4s_numpairs_npairu_u_11)).
fof(9, axiom,![X3]:![X4]:s(t_h4s_nums_num,h4s_numpairs_ncons(s(t_h4s_nums_num,X4),s(t_h4s_nums_num,X3)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_numpairs_npair(s(t_h4s_nums_num,X4),s(t_h4s_nums_num,X3))),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))))),file('i/f/numpair/ncons__11', ah4s_numpairs_nconsu_u_def)).
# SZS output end CNFRefutation
