# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:s(t_h4s_nums_num,happ(s(t_fun(t_h4s_lists_list(t_h4s_nums_num),t_h4s_nums_num),h4s_numposreps_l2n2),s(t_h4s_lists_list(t_h4s_nums_num),h4s_lists_cons(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_lists_list(t_h4s_nums_num),X1)))))=s(t_h4s_nums_num,h4s_numerals_idub(s(t_h4s_nums_num,happ(s(t_fun(t_h4s_lists_list(t_h4s_nums_num),t_h4s_nums_num),h4s_numposreps_l2n2),s(t_h4s_lists_list(t_h4s_nums_num),X1))))),file('i/f/numposrep/l2n__2__thms_c3', ch4s_numposreps_l2nu_u_2u_u_thmsu_c3)).
fof(18, axiom,![X3]:s(t_h4s_nums_num,h4s_numerals_idub(s(t_h4s_nums_num,X3)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X3))),file('i/f/numposrep/l2n__2__thms_c3', ah4s_numerals_iDUB0)).
fof(20, axiom,![X1]:![X8]:![X13]:s(t_h4s_nums_num,happ(s(t_fun(t_h4s_lists_list(t_h4s_nums_num),t_h4s_nums_num),h4s_numposreps_l2n(s(t_h4s_nums_num,h4s_arithmetics_exp(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,h4s_arithmetics_zero))))),s(t_h4s_nums_num,X8))))),s(t_h4s_lists_list(t_h4s_nums_num),h4s_lists_cons(s(t_h4s_nums_num,X13),s(t_h4s_lists_list(t_h4s_nums_num),X1)))))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_bits_modu_u_2exp(s(t_h4s_nums_num,X8),s(t_h4s_nums_num,X13))),s(t_h4s_nums_num,h4s_bits_timesu_u_2exp(s(t_h4s_nums_num,X8),s(t_h4s_nums_num,happ(s(t_fun(t_h4s_lists_list(t_h4s_nums_num),t_h4s_nums_num),h4s_numposreps_l2n(s(t_h4s_nums_num,h4s_arithmetics_exp(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,h4s_arithmetics_zero))))),s(t_h4s_nums_num,X8))))),s(t_h4s_lists_list(t_h4s_nums_num),X1))))))),file('i/f/numposrep/l2n__2__thms_c3', ah4s_numposreps_l2nu_u_pow2u_u_computeu_c1)).
fof(21, axiom,s(t_fun(t_h4s_lists_list(t_h4s_nums_num),t_h4s_nums_num),h4s_numposreps_l2n2)=s(t_fun(t_h4s_lists_list(t_h4s_nums_num),t_h4s_nums_num),h4s_numposreps_l2n(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,h4s_arithmetics_zero))))))),file('i/f/numposrep/l2n__2__thms_c3', ah4s_numposreps_l2n20)).
fof(22, axiom,![X14]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X14),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,X14),file('i/f/numposrep/l2n__2__thms_c3', ah4s_arithmetics_ADDu_u_0)).
fof(23, axiom,![X15]:![X14]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X14),s(t_h4s_nums_num,X15)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X15),s(t_h4s_nums_num,X14))),file('i/f/numposrep/l2n__2__thms_c3', ah4s_arithmetics_ADDu_u_SYM)).
fof(24, axiom,![X15]:![X14]:s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X14),s(t_h4s_nums_num,X15)))=s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X15),s(t_h4s_nums_num,X14))),file('i/f/numposrep/l2n__2__thms_c3', ah4s_arithmetics_MULTu_u_COMM)).
fof(25, axiom,![X15]:s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,h4s_arithmetics_zero))))),s(t_h4s_nums_num,X15)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X15),s(t_h4s_nums_num,X15))),file('i/f/numposrep/l2n__2__thms_c3', ah4s_arithmetics_TIMES2)).
fof(26, axiom,![X15]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X15)))))=s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_arithmetics_zero),s(t_h4s_nums_num,X15))),file('i/f/numposrep/l2n__2__thms_c3', ah4s_numerals_numeralu_u_distribu_c21)).
fof(27, axiom,![X15]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_arithmetics_zero),s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,X15)))))=s(t_bool,t0),file('i/f/numposrep/l2n__2__thms_c3', ah4s_numerals_numeralu_u_ltu_c1)).
fof(28, axiom,![X15]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X15))))=>s(t_h4s_nums_num,h4s_arithmetics_mod(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X15)))=s(t_h4s_nums_num,h4s_nums_0)),file('i/f/numposrep/l2n__2__thms_c3', ah4s_arithmetics_ZEROu_u_MOD)).
fof(29, axiom,p(s(t_bool,t0)),file('i/f/numposrep/l2n__2__thms_c3', aHLu_TRUTH)).
fof(33, axiom,![X3]:![X15]:s(t_h4s_nums_num,h4s_bits_timesu_u_2exp(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X15)))=s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X15),s(t_h4s_nums_num,h4s_arithmetics_exp(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,h4s_arithmetics_zero))))),s(t_h4s_nums_num,X3))))),file('i/f/numposrep/l2n__2__thms_c3', ah4s_bits_TIMESu_u_2EXPu_u_def)).
fof(34, axiom,![X15]:s(t_h4s_nums_num,h4s_arithmetics_exp(s(t_h4s_nums_num,X15),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,X15),file('i/f/numposrep/l2n__2__thms_c3', ah4s_arithmetics_EXPu_u_1u_c1)).
fof(35, axiom,![X3]:![X15]:s(t_h4s_nums_num,h4s_bits_modu_u_2exp(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X15)))=s(t_h4s_nums_num,h4s_arithmetics_mod(s(t_h4s_nums_num,X15),s(t_h4s_nums_num,h4s_arithmetics_exp(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,h4s_arithmetics_zero))))),s(t_h4s_nums_num,X3))))),file('i/f/numposrep/l2n__2__thms_c3', ah4s_bits_MODu_u_2EXPu_u_def)).
# SZS output end CNFRefutation
