# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:s(X2,h4s_paths_nthu_u_label(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X4))))),s(t_h4s_paths_path(X1,X2),X3)))=s(X2,h4s_paths_nthu_u_label(s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X4))))),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_paths_path(X1,X2),h4s_paths_tail(s(t_h4s_paths_path(X1,X2),X3))))),file('i/f/path/nth__label__def__compute_c1', ch4s_paths_nthu_u_labelu_u_defu_u_computeu_c1)).
fof(10, axiom,s(t_h4s_nums_num,h4s_arithmetics_zero)=s(t_h4s_nums_num,h4s_nums_0),file('i/f/path/nth__label__def__compute_c1', ah4s_arithmetics_ALTu_u_ZERO)).
fof(11, axiom,![X9]:s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X9)))=s(t_h4s_nums_num,X9),file('i/f/path/nth__label__def__compute_c1', ah4s_arithmetics_NUMERALu_u_DEF)).
fof(22, axiom,![X1]:![X2]:![X3]:![X4]:s(X2,h4s_paths_nthu_u_label(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X4))),s(t_h4s_paths_path(X1,X2),X3)))=s(X2,h4s_paths_nthu_u_label(s(t_h4s_nums_num,X4),s(t_h4s_paths_path(X1,X2),h4s_paths_tail(s(t_h4s_paths_path(X1,X2),X3))))),file('i/f/path/nth__label__def__compute_c1', ah4s_paths_nthu_u_labelu_u_defu_c1)).
fof(33, axiom,![X4]:![X27]:s(t_h4s_nums_num,h4s_arithmetics_u_2d(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,X27)))))=s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X4),s(t_h4s_nums_num,X27))),file('i/f/path/nth__label__def__compute_c1', ah4s_arithmetics_SUBu_u_MONOu_u_EQ)).
fof(34, axiom,![X27]:s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X27),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,X27),file('i/f/path/nth__label__def__compute_c1', ah4s_arithmetics_SUBu_u_0u_c1)).
fof(36, axiom,![X27]:s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X27)))=s(t_h4s_nums_num,h4s_nums_0),file('i/f/path/nth__label__def__compute_c1', ah4s_arithmetics_SUBu_c0)).
fof(37, 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/path/nth__label__def__compute_c1', ah4s_arithmetics_ONE)).
fof(40, axiom,![X4]:s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X4)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X4),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X4),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_nums_0))))))),file('i/f/path/nth__label__def__compute_c1', ah4s_arithmetics_BIT10)).
fof(42, axiom,![X4]:![X27]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X27),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,X27),s(t_h4s_nums_num,X4))))),file('i/f/path/nth__label__def__compute_c1', ah4s_arithmetics_ADDu_u_CLAUSESu_c3)).
fof(48, axiom,![X27]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X27),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,X27),file('i/f/path/nth__label__def__compute_c1', ah4s_arithmetics_ADDu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
