# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:s(t_h4s_lists_list(X1),h4s_lists_genlistu_u_aux(s(t_fun(t_h4s_nums_num,X1),X4),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X2))))),s(t_h4s_lists_list(X1),X3)))=s(t_h4s_lists_list(X1),h4s_lists_genlistu_u_aux(s(t_fun(t_h4s_nums_num,X1),X4),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,X2))))),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(X1),h4s_lists_cons(s(X1,happ(s(t_fun(t_h4s_nums_num,X1),X4),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,X2))))),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(X1),X3))))),file('i/f/list/GENLIST__AUX__compute0_c1', ch4s_lists_GENLISTu_u_AUXu_u_compute0u_c1)).
fof(4, axiom,![X8]:s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X8)))=s(t_h4s_nums_num,X8),file('i/f/list/GENLIST__AUX__compute0_c1', ah4s_arithmetics_NUMERALu_u_DEF)).
fof(9, axiom,![X13]:(s(t_h4s_nums_num,X13)=s(t_h4s_nums_num,h4s_nums_0)|?[X2]:s(t_h4s_nums_num,X13)=s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X2)))),file('i/f/list/GENLIST__AUX__compute0_c1', ah4s_arithmetics_numu_u_CASES)).
fof(20, axiom,![X1]:![X2]:![X3]:![X4]:s(t_h4s_lists_list(X1),h4s_lists_genlistu_u_aux(s(t_fun(t_h4s_nums_num,X1),X4),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X2))),s(t_h4s_lists_list(X1),X3)))=s(t_h4s_lists_list(X1),h4s_lists_genlistu_u_aux(s(t_fun(t_h4s_nums_num,X1),X4),s(t_h4s_nums_num,X2),s(t_h4s_lists_list(X1),h4s_lists_cons(s(X1,happ(s(t_fun(t_h4s_nums_num,X1),X4),s(t_h4s_nums_num,X2))),s(t_h4s_lists_list(X1),X3))))),file('i/f/list/GENLIST__AUX__compute0_c1', ah4s_lists_GENLISTu_u_AUX0u_c1)).
fof(47, axiom,![X2]:![X13]:s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X2))),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X13)))))=s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X13))),file('i/f/list/GENLIST__AUX__compute0_c1', ah4s_arithmetics_SUBu_u_MONOu_u_EQ)).
fof(48, axiom,![X13]:s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X13),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,X13),file('i/f/list/GENLIST__AUX__compute0_c1', ah4s_arithmetics_SUBu_u_0u_c1)).
fof(50, axiom,![X13]:s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X13)))=s(t_h4s_nums_num,h4s_nums_0),file('i/f/list/GENLIST__AUX__compute0_c1', ah4s_arithmetics_SUBu_u_0u_c0)).
fof(63, axiom,![X2]: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,X2)))))=s(t_bool,t),file('i/f/list/GENLIST__AUX__compute0_c1', ah4s_numerals_numeralu_u_ltu_c0)).
fof(65, axiom,s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_arithmetics_zero)))=s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))),file('i/f/list/GENLIST__AUX__compute0_c1', ah4s_numerals_numeralu_u_sucu_c0)).
fof(67, axiom,s(t_h4s_nums_num,h4s_arithmetics_zero)=s(t_h4s_nums_num,h4s_nums_0),file('i/f/list/GENLIST__AUX__compute0_c1', ah4s_arithmetics_ALTu_u_ZERO)).
fof(70, axiom,![X2]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,h4s_arithmetics_zero)))=s(t_bool,f0),file('i/f/list/GENLIST__AUX__compute0_c1', ah4s_numerals_numeralu_u_ltu_c2)).
fof(76, axiom,~(p(s(t_bool,f0))),file('i/f/list/GENLIST__AUX__compute0_c1', aHLu_FALSITY)).
fof(80, axiom,![X10]:(s(t_bool,X10)=s(t_bool,t)<=>p(s(t_bool,X10))),file('i/f/list/GENLIST__AUX__compute0_c1', ah4s_bools_EQu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
