# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(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,X2))),s(t_h4s_nums_num,X1)))=s(t_h4s_totos_cpn,h4s_totos_equal)=>s(t_h4s_totos_cpn,h4s_totos_charord(s(t_h4s_strings_char,h4s_strings_chr(s(t_h4s_nums_num,X2))),s(t_h4s_strings_char,h4s_strings_chr(s(t_h4s_nums_num,X1)))))=s(t_h4s_totos_cpn,h4s_totos_equal)),file('i/f/toto/charOrd__eq__lem', ch4s_totos_charOrdu_u_equ_u_lem)).
fof(8, 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/charOrd__eq__lem', ah4s_totos_TOu_u_numOrd)).
fof(9, axiom,![X9]:![X10]:(p(s(t_bool,h4s_totos_totord(s(t_fun(X9,t_fun(X9,t_h4s_totos_cpn)),X10))))<=>(![X8]:![X11]:(s(t_h4s_totos_cpn,happ(s(t_fun(X9,t_h4s_totos_cpn),happ(s(t_fun(X9,t_fun(X9,t_h4s_totos_cpn)),X10),s(X9,X8))),s(X9,X11)))=s(t_h4s_totos_cpn,h4s_totos_equal)<=>s(X9,X8)=s(X9,X11))&(![X8]:![X11]:(s(t_h4s_totos_cpn,happ(s(t_fun(X9,t_h4s_totos_cpn),happ(s(t_fun(X9,t_fun(X9,t_h4s_totos_cpn)),X10),s(X9,X8))),s(X9,X11)))=s(t_h4s_totos_cpn,h4s_totos_greater)<=>s(t_h4s_totos_cpn,happ(s(t_fun(X9,t_h4s_totos_cpn),happ(s(t_fun(X9,t_fun(X9,t_h4s_totos_cpn)),X10),s(X9,X11))),s(X9,X8)))=s(t_h4s_totos_cpn,h4s_totos_less))&![X8]:![X11]:![X12]:((s(t_h4s_totos_cpn,happ(s(t_fun(X9,t_h4s_totos_cpn),happ(s(t_fun(X9,t_fun(X9,t_h4s_totos_cpn)),X10),s(X9,X8))),s(X9,X11)))=s(t_h4s_totos_cpn,h4s_totos_less)&s(t_h4s_totos_cpn,happ(s(t_fun(X9,t_h4s_totos_cpn),happ(s(t_fun(X9,t_fun(X9,t_h4s_totos_cpn)),X10),s(X9,X11))),s(X9,X12)))=s(t_h4s_totos_cpn,h4s_totos_less))=>s(t_h4s_totos_cpn,happ(s(t_fun(X9,t_h4s_totos_cpn),happ(s(t_fun(X9,t_fun(X9,t_h4s_totos_cpn)),X10),s(X9,X8))),s(X9,X12)))=s(t_h4s_totos_cpn,h4s_totos_less))))),file('i/f/toto/charOrd__eq__lem', ah4s_totos_TotOrd0)).
fof(10, axiom,![X1]:![X2]:s(t_h4s_totos_cpn,h4s_totos_charord(s(t_h4s_strings_char,X2),s(t_h4s_strings_char,X1)))=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_strings_ord(s(t_h4s_strings_char,X2))))),s(t_h4s_nums_num,h4s_strings_ord(s(t_h4s_strings_char,X1))))),file('i/f/toto/charOrd__eq__lem', ah4s_totos_charOrd0)).
# SZS output end CNFRefutation
