# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,s(t_h4s_totos_cpn,happ(s(t_fun(t_h4s_nums_num,t_h4s_totos_cpn),happ(s(t_fun(t_h4s_nums_num,t_fun(t_h4s_nums_num,t_h4s_totos_cpn)),h4s_totos_numord),s(t_h4s_nums_num,h4s_arithmetics_zero))),s(t_h4s_nums_num,h4s_arithmetics_zero)))=s(t_h4s_totos_cpn,h4s_totos_equal),file('i/f/toto/numeralOrd_c0', ch4s_totos_numeralOrdu_c0)).
fof(23, axiom,![X7]:![X22]:(p(s(t_bool,h4s_totos_totord(s(t_fun(X7,t_fun(X7,t_h4s_totos_cpn)),X22))))<=>(![X5]:![X12]:(s(t_h4s_totos_cpn,happ(s(t_fun(X7,t_h4s_totos_cpn),happ(s(t_fun(X7,t_fun(X7,t_h4s_totos_cpn)),X22),s(X7,X5))),s(X7,X12)))=s(t_h4s_totos_cpn,h4s_totos_equal)<=>s(X7,X5)=s(X7,X12))&(![X5]:![X12]:(s(t_h4s_totos_cpn,happ(s(t_fun(X7,t_h4s_totos_cpn),happ(s(t_fun(X7,t_fun(X7,t_h4s_totos_cpn)),X22),s(X7,X5))),s(X7,X12)))=s(t_h4s_totos_cpn,h4s_totos_greater)<=>s(t_h4s_totos_cpn,happ(s(t_fun(X7,t_h4s_totos_cpn),happ(s(t_fun(X7,t_fun(X7,t_h4s_totos_cpn)),X22),s(X7,X12))),s(X7,X5)))=s(t_h4s_totos_cpn,h4s_totos_less))&![X5]:![X12]:![X23]:((s(t_h4s_totos_cpn,happ(s(t_fun(X7,t_h4s_totos_cpn),happ(s(t_fun(X7,t_fun(X7,t_h4s_totos_cpn)),X22),s(X7,X5))),s(X7,X12)))=s(t_h4s_totos_cpn,h4s_totos_less)&s(t_h4s_totos_cpn,happ(s(t_fun(X7,t_h4s_totos_cpn),happ(s(t_fun(X7,t_fun(X7,t_h4s_totos_cpn)),X22),s(X7,X12))),s(X7,X23)))=s(t_h4s_totos_cpn,h4s_totos_less))=>s(t_h4s_totos_cpn,happ(s(t_fun(X7,t_h4s_totos_cpn),happ(s(t_fun(X7,t_fun(X7,t_h4s_totos_cpn)),X22),s(X7,X5))),s(X7,X23)))=s(t_h4s_totos_cpn,h4s_totos_less))))),file('i/f/toto/numeralOrd_c0', ah4s_totos_TotOrd0)).
fof(32, axiom,s(t_fun(t_h4s_nums_num,t_fun(t_h4s_nums_num,t_h4s_totos_cpn)),h4s_totos_numord)=s(t_fun(t_h4s_nums_num,t_fun(t_h4s_nums_num,t_h4s_totos_cpn)),h4s_totos_tou_u_ofu_u_linearorder(s(t_fun(t_h4s_nums_num,t_fun(t_h4s_nums_num,t_bool)),h4s_primu_u_recs_u_3c))),file('i/f/toto/numeralOrd_c0', ah4s_totos_numOrd0)).
fof(33, axiom,p(s(t_bool,h4s_totos_totord(s(t_fun(t_h4s_nums_num,t_fun(t_h4s_nums_num,t_h4s_totos_cpn)),h4s_totos_numord)))),file('i/f/toto/numeralOrd_c0', ah4s_totos_TOu_u_numOrd)).
# SZS output end CNFRefutation
