# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/numposrep/l2n__2__thms_c4', aHLu_FALSITY)).
fof(27, axiom,![X14]:s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X14)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X14),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X14),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_nums_0))))))),file('i/f/numposrep/l2n__2__thms_c4', ah4s_arithmetics_BIT10)).
fof(28, 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/numposrep/l2n__2__thms_c4', ah4s_arithmetics_ONE)).
fof(29, axiom,![X14]:![X15]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X15),s(t_h4s_nums_num,X14)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X14),s(t_h4s_nums_num,X15))),file('i/f/numposrep/l2n__2__thms_c4', ah4s_arithmetics_ADDu_u_SYM)).
fof(31, axiom,![X13]:![X14]:![X15]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X15),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X14),s(t_h4s_nums_num,X13)))))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X15),s(t_h4s_nums_num,X14))),s(t_h4s_nums_num,X13))),file('i/f/numposrep/l2n__2__thms_c4', ah4s_arithmetics_ADDu_u_ASSOC)).
fof(32, axiom,![X14]:![X15]:s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X15),s(t_h4s_nums_num,X14)))=s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X14),s(t_h4s_nums_num,X15))),file('i/f/numposrep/l2n__2__thms_c4', ah4s_arithmetics_MULTu_u_COMM)).
fof(33, axiom,![X14]: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,X14)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X14),s(t_h4s_nums_num,X14))),file('i/f/numposrep/l2n__2__thms_c4', ah4s_arithmetics_TIMES2)).
fof(36, axiom,![X14]:s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X14)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(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,X14))),file('i/f/numposrep/l2n__2__thms_c4', ah4s_arithmetics_SUCu_u_ONEu_u_ADD)).
fof(37, axiom,![X14]:![X16]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X16),s(t_h4s_nums_num,X14))))=>s(t_h4s_nums_num,h4s_arithmetics_mod(s(t_h4s_nums_num,X16),s(t_h4s_nums_num,X14)))=s(t_h4s_nums_num,X16)),file('i/f/numposrep/l2n__2__thms_c4', ah4s_arithmetics_LESSu_u_MOD)).
fof(38, axiom,![X14]:s(t_h4s_nums_num,h4s_arithmetics_exp(s(t_h4s_nums_num,X14),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,X14),file('i/f/numposrep/l2n__2__thms_c4', ah4s_arithmetics_EXPu_u_1u_c1)).
fof(39, 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_c4', ah4s_numerals_numeralu_u_distribu_c1)).
fof(41, axiom,![X14]:![X15]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X14))),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,X14),s(t_h4s_nums_num,X15))),file('i/f/numposrep/l2n__2__thms_c4', ah4s_numerals_numeralu_u_distribu_c22)).
fof(45, axiom,![X14]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X14),s(t_h4s_nums_num,h4s_arithmetics_zero)))=s(t_bool,f),file('i/f/numposrep/l2n__2__thms_c4', ah4s_numerals_numeralu_u_ltu_c2)).
fof(46, axiom,![X14]:![X15]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X14))),s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,X15))))))<=>~(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X15),s(t_h4s_nums_num,X14)))))),file('i/f/numposrep/l2n__2__thms_c4', ah4s_numerals_numeralu_u_ltu_c5)).
fof(48, axiom,![X6]:![X14]:s(t_h4s_nums_num,h4s_bits_modu_u_2exp(s(t_h4s_nums_num,X6),s(t_h4s_nums_num,X14)))=s(t_h4s_nums_num,h4s_arithmetics_mod(s(t_h4s_nums_num,X14),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,X6))))),file('i/f/numposrep/l2n__2__thms_c4', ah4s_bits_MODu_u_2EXPu_u_def)).
fof(49, axiom,![X6]:![X14]:s(t_h4s_nums_num,h4s_bits_timesu_u_2exp(s(t_h4s_nums_num,X6),s(t_h4s_nums_num,X14)))=s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X14),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,X6))))),file('i/f/numposrep/l2n__2__thms_c4', ah4s_bits_TIMESu_u_2EXPu_u_def)).
fof(50, axiom,![X1]:![X13]:![X17]: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,X13))))),s(t_h4s_lists_list(t_h4s_nums_num),h4s_lists_cons(s(t_h4s_nums_num,X17),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,X13),s(t_h4s_nums_num,X17))),s(t_h4s_nums_num,h4s_bits_timesu_u_2exp(s(t_h4s_nums_num,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,X13))))),s(t_h4s_lists_list(t_h4s_nums_num),X1))))))),file('i/f/numposrep/l2n__2__thms_c4', ah4s_numposreps_l2nu_u_pow2u_u_computeu_c1)).
fof(51, 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_c4', ah4s_numposreps_l2n20)).
fof(52, 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_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))),s(t_h4s_lists_list(t_h4s_nums_num),X1)))))=s(t_h4s_nums_num,h4s_arithmetics_bit1(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_c4', ch4s_numposreps_l2nu_u_2u_u_thmsu_c4)).
# SZS output end CNFRefutation
