# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(p(s(t_bool,h4s_primu_u_recs_u_3c(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,X2))))=>p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_numposreps_l2n(s(t_h4s_nums_num,X2),s(t_h4s_lists_list(t_h4s_nums_num),X1))),s(t_h4s_nums_num,h4s_arithmetics_exp(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(t_h4s_nums_num),X1))))))))),file('i/f/patricia_casts/l2n__LENGTH', ch4s_patriciau_u_castss_l2nu_u_LENGTH)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/patricia_casts/l2n__LENGTH', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/patricia_casts/l2n__LENGTH', aHLu_FALSITY)).
fof(7, axiom,![X3]:((p(s(t_bool,X3))=>p(s(t_bool,f)))<=>s(t_bool,X3)=s(t_bool,f)),file('i/f/patricia_casts/l2n__LENGTH', ah4s_bools_IMPu_u_Fu_u_EQu_u_F)).
fof(9, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t)<=>p(s(t_bool,X3))),file('i/f/patricia_casts/l2n__LENGTH', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(26, axiom,![X17]:![X18]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X17),s(t_h4s_nums_num,X18))))=>?[X16]:s(t_h4s_nums_num,X18)=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X17),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X16),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/patricia_casts/l2n__LENGTH', ah4s_arithmetics_LESSu_u_ADDu_u_1)).
fof(32, axiom,![X17]:~(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X17),s(t_h4s_nums_num,h4s_nums_0))))),file('i/f/patricia_casts/l2n__LENGTH', ah4s_primu_u_recs_NOTu_u_LESSu_u_0)).
fof(50, axiom,![X1]:![X2]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X2))))=>p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_numposreps_l2n(s(t_h4s_nums_num,X2),s(t_h4s_lists_list(t_h4s_nums_num),X1))),s(t_h4s_nums_num,h4s_arithmetics_exp(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(t_h4s_nums_num),X1))))))))),file('i/f/patricia_casts/l2n__LENGTH', ah4s_numposreps_l2nu_u_lt)).
fof(51, axiom,![X17]:![X18]:(~(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X18),s(t_h4s_nums_num,X17)))))<=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X17),s(t_h4s_nums_num,X18))))),file('i/f/patricia_casts/l2n__LENGTH', ah4s_arithmetics_NOTu_u_LESS)).
fof(52, axiom,![X17]:![X18]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X18),s(t_h4s_nums_num,X17)))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X18))),s(t_h4s_nums_num,X17))),file('i/f/patricia_casts/l2n__LENGTH', ah4s_arithmetics_LESSu_u_EQ)).
fof(55, axiom,![X17]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_arithmetics_zero),s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X17)))))=s(t_bool,t),file('i/f/patricia_casts/l2n__LENGTH', ah4s_numerals_numeralu_u_ltu_c0)).
fof(60, axiom,![X14]:![X17]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X14),s(t_h4s_nums_num,X17))))=>s(t_h4s_nums_num,h4s_arithmetics_div(s(t_h4s_nums_num,X14),s(t_h4s_nums_num,X17)))=s(t_h4s_nums_num,h4s_nums_0)),file('i/f/patricia_casts/l2n__LENGTH', ah4s_arithmetics_LESSu_u_DIVu_u_EQu_u_ZERO)).
fof(65, axiom,![X18]:s(t_h4s_nums_num,h4s_arithmetics_exp(s(t_h4s_nums_num,X18),s(t_h4s_nums_num,h4s_nums_0)))=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/patricia_casts/l2n__LENGTH', ah4s_arithmetics_EXP0u_c0)).
fof(78, axiom,![X17]:![X18]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X18),s(t_h4s_nums_num,X17)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X17),s(t_h4s_nums_num,X18))),file('i/f/patricia_casts/l2n__LENGTH', ah4s_arithmetics_ADDu_u_COMM)).
fof(79, axiom,![X17]:s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X17)))=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,X17))),file('i/f/patricia_casts/l2n__LENGTH', ah4s_arithmetics_SUCu_u_ONEu_u_ADD)).
fof(81, axiom,![X18]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X18)))=s(t_h4s_nums_num,X18),file('i/f/patricia_casts/l2n__LENGTH', ah4s_arithmetics_ADDu_u_CLAUSESu_c0)).
# SZS output end CNFRefutation
