# 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,~(p(s(t_bool,f))),file('i/f/numpair/ncons__not__nnil', aHLu_FALSITY)).
fof(8, axiom,![X4]:![X5]:(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X5),s(t_h4s_nums_num,X4)))=s(t_h4s_nums_num,h4s_nums_0)<=>(s(t_h4s_nums_num,X5)=s(t_h4s_nums_num,h4s_nums_0)&s(t_h4s_nums_num,X4)=s(t_h4s_nums_num,h4s_nums_0))),file('i/f/numpair/ncons__not__nnil', ah4s_arithmetics_ADDu_u_EQu_u_0)).
fof(9, axiom,![X4]:(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X4)))=s(t_h4s_nums_num,h4s_nums_0)<=>s(t_h4s_nums_num,X4)=s(t_h4s_nums_num,h4s_arithmetics_zero)),file('i/f/numpair/ncons__not__nnil', ah4s_numerals_numeralu_u_distribu_c17)).
fof(10, axiom,![X4]:(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X4)))=s(t_h4s_nums_num,h4s_arithmetics_zero)<=>p(s(t_bool,f))),file('i/f/numpair/ncons__not__nnil', ah4s_numerals_numeralu_u_equ_c1)).
fof(11, axiom,![X3]:![X6]:s(t_h4s_nums_num,h4s_numpairs_ncons(s(t_h4s_nums_num,X6),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,X6),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__not__nnil', ah4s_numpairs_nconsu_u_def)).
# SZS output end CNFRefutation
