# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:~(s(t_h4s_totos_numu_u_dt,h4s_totos_zer)=s(t_h4s_totos_numu_u_dt,happ(s(t_fun(t_h4s_totos_numu_u_dt,t_h4s_totos_numu_u_dt),h4s_totos_bit1),s(t_h4s_totos_numu_u_dt,X1)))),file('i/f/toto/num__dt__distinct_c0', ch4s_totos_numu_u_dtu_u_distinctu_c0)).
fof(31, axiom,s(t_fun(t_h4s_totos_numu_u_dt,t_h4s_totos_numu_u_dt),h4s_totos_bit1)=s(t_fun(t_h4s_totos_numu_u_dt,t_h4s_totos_numu_u_dt),h4s_totos_u_20u_40indu_u_typetoto1),file('i/f/toto/num__dt__distinct_c0', ah4s_totos_bit10)).
fof(33, axiom,![X10]:![X22]:![X31]:![X4]:![X1]:s(X10,h4s_totos_numu_u_dtu_u_case(s(t_h4s_totos_numu_u_dt,happ(s(t_fun(t_h4s_totos_numu_u_dt,t_h4s_totos_numu_u_dt),h4s_totos_bit1),s(t_h4s_totos_numu_u_dt,X1))),s(X10,X22),s(t_fun(t_h4s_totos_numu_u_dt,X10),X4),s(t_fun(t_h4s_totos_numu_u_dt,X10),X31)))=s(X10,happ(s(t_fun(t_h4s_totos_numu_u_dt,X10),X4),s(t_h4s_totos_numu_u_dt,X1))),file('i/f/toto/num__dt__distinct_c0', ah4s_totos_numu_u_dtu_u_caseu_u_defu_c1)).
fof(34, axiom,s(t_h4s_totos_numu_u_dt,h4s_totos_zer)=s(t_h4s_totos_numu_u_dt,h4s_totos_u_20u_40indu_u_typetoto0),file('i/f/toto/num__dt__distinct_c0', ah4s_totos_zer0)).
fof(36, axiom,![X10]:![X22]:![X31]:![X4]:s(X10,h4s_totos_numu_u_dtu_u_case(s(t_h4s_totos_numu_u_dt,h4s_totos_zer),s(X10,X22),s(t_fun(t_h4s_totos_numu_u_dt,X10),X4),s(t_fun(t_h4s_totos_numu_u_dt,X10),X31)))=s(X10,X22),file('i/f/toto/num__dt__distinct_c0', ah4s_totos_numu_u_dtu_u_caseu_u_defu_c0)).
fof(57, axiom,![X10]:s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X10),h4s_lists_nil)))=s(t_h4s_nums_num,h4s_nums_0),file('i/f/toto/num__dt__distinct_c0', ah4s_lists_LENGTH0u_c0)).
fof(58, axiom,![X24]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X24)))=s(t_h4s_nums_num,X24),file('i/f/toto/num__dt__distinct_c0', ah4s_arithmetics_ADDu_u_CLAUSESu_c0)).
fof(61, axiom,![X23]:![X24]:~(s(t_h4s_nums_num,happ(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),h4s_nums_suc),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X23),s(t_h4s_nums_num,X23)))))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X24),s(t_h4s_nums_num,X24)))),file('i/f/toto/num__dt__distinct_c0', ah4s_arithmetics_NOTu_u_ODDu_u_EQu_u_EVEN)).
# SZS output end CNFRefutation
