# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:~(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_nums_0)),file('i/f/numpair/ncons__not__nnil', ch4s_numpairs_nconsu_u_notu_u_nnil)).
fof(3, axiom,![X4]:~(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X4)))=s(t_h4s_nums_num,h4s_nums_0)),file('i/f/numpair/ncons__not__nnil', ah4s_nums_NOTu_u_SUC)).
fof(11, axiom,![X6]:![X7]:s(t_h4s_nums_num,h4s_numpairs_ncons(s(t_h4s_nums_num,X7),s(t_h4s_nums_num,X6)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_numpairs_npair(s(t_h4s_nums_num,X7),s(t_h4s_nums_num,X6))),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__not__nnil', ah4s_numpairs_nconsu_u_def)).
fof(39, axiom,![X4]:![X5]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X5),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X4)))))=s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X5),s(t_h4s_nums_num,X4))))),file('i/f/numpair/ncons__not__nnil', ah4s_arithmetics_ADDu_u_CLAUSESu_c3)).
fof(43, axiom,![X5]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X5),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,X5),file('i/f/numpair/ncons__not__nnil', ah4s_arithmetics_ADDu_u_CLAUSESu_c1)).
fof(48, axiom,s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero)))))=s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_nums_0))),file('i/f/numpair/ncons__not__nnil', ah4s_arithmetics_ONE)).
fof(49, axiom,![X2]:s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X2)))=s(t_h4s_nums_num,X2),file('i/f/numpair/ncons__not__nnil', ah4s_arithmetics_NUMERALu_u_DEF)).
fof(51, axiom,s(t_h4s_nums_num,h4s_arithmetics_zero)=s(t_h4s_nums_num,h4s_nums_0),file('i/f/numpair/ncons__not__nnil', ah4s_arithmetics_ALTu_u_ZERO)).
# SZS output end CNFRefutation
