# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, axiom,p(s(t_bool,t)),file('i/f/toto/charOrd__gt__lem', aHLu_TRUTH)).
fof(6, axiom,![X8]:![X9]:(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,X9))),s(t_h4s_nums_num,X8)))=s(t_h4s_totos_cpn,h4s_totos_less)=>(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),happ(s(t_fun(t_h4s_nums_num,t_fun(t_h4s_nums_num,t_bool)),h4s_primu_u_recs_u_3c),s(t_h4s_nums_num,X8))),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero)))))))))))))))))))))=s(t_bool,t)=>s(t_h4s_totos_cpn,happ(s(t_fun(t_h4s_strings_char,t_h4s_totos_cpn),happ(s(t_fun(t_h4s_strings_char,t_fun(t_h4s_strings_char,t_h4s_totos_cpn)),h4s_totos_charord),s(t_h4s_strings_char,h4s_strings_chr(s(t_h4s_nums_num,X9))))),s(t_h4s_strings_char,h4s_strings_chr(s(t_h4s_nums_num,X8)))))=s(t_h4s_totos_cpn,h4s_totos_less))),file('i/f/toto/charOrd__gt__lem', ah4s_totos_charOrdu_u_ltu_u_lem)).
fof(8, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)<=>p(s(t_bool,X1))),file('i/f/toto/charOrd__gt__lem', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(13, axiom,![X9]:s(t_h4s_strings_char,h4s_strings_chr(s(t_h4s_nums_num,happ(s(t_fun(t_h4s_strings_char,t_h4s_nums_num),h4s_strings_ord),s(t_h4s_strings_char,X9)))))=s(t_h4s_strings_char,X9),file('i/f/toto/charOrd__gt__lem', ah4s_strings_charu_u_BIJu_c0)).
fof(22, axiom,![X7]:(p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),happ(s(t_fun(t_h4s_nums_num,t_fun(t_h4s_nums_num,t_bool)),h4s_primu_u_recs_u_3c),s(t_h4s_nums_num,X7))),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))))))))))))))))))))<=>?[X9]:s(t_h4s_nums_num,X7)=s(t_h4s_nums_num,happ(s(t_fun(t_h4s_strings_char,t_h4s_nums_num),h4s_strings_ord),s(t_h4s_strings_char,X9)))),file('i/f/toto/charOrd__gt__lem', ah4s_strings_ORDu_u_ONTO)).
fof(26, axiom,s(t_h4s_totos_toto(t_h4s_strings_char),h4s_totos_charto)=s(t_h4s_totos_toto(t_h4s_strings_char),h4s_totos_to(s(t_fun(t_h4s_strings_char,t_fun(t_h4s_strings_char,t_h4s_totos_cpn)),h4s_totos_charord))),file('i/f/toto/charOrd__gt__lem', ah4s_totos_charto0)).
fof(30, axiom,s(t_fun(t_h4s_strings_char,t_fun(t_h4s_strings_char,t_h4s_totos_cpn)),h4s_totos_apto(s(t_h4s_totos_toto(t_h4s_strings_char),h4s_totos_charto)))=s(t_fun(t_h4s_strings_char,t_fun(t_h4s_strings_char,t_h4s_totos_cpn)),h4s_totos_charord),file('i/f/toto/charOrd__gt__lem', ah4s_totos_apchartou_u_thm)).
fof(88, 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__gt__lem', ah4s_totos_TOu_u_numOrd)).
fof(89, axiom,![X16]:![X19]:(p(s(t_bool,h4s_totos_totord(s(t_fun(X16,t_fun(X16,t_h4s_totos_cpn)),X19))))<=>(![X6]:![X27]:(s(t_h4s_totos_cpn,happ(s(t_fun(X16,t_h4s_totos_cpn),happ(s(t_fun(X16,t_fun(X16,t_h4s_totos_cpn)),X19),s(X16,X6))),s(X16,X27)))=s(t_h4s_totos_cpn,h4s_totos_equal)<=>s(X16,X6)=s(X16,X27))&(![X6]:![X27]:(s(t_h4s_totos_cpn,happ(s(t_fun(X16,t_h4s_totos_cpn),happ(s(t_fun(X16,t_fun(X16,t_h4s_totos_cpn)),X19),s(X16,X6))),s(X16,X27)))=s(t_h4s_totos_cpn,h4s_totos_greater)<=>s(t_h4s_totos_cpn,happ(s(t_fun(X16,t_h4s_totos_cpn),happ(s(t_fun(X16,t_fun(X16,t_h4s_totos_cpn)),X19),s(X16,X27))),s(X16,X6)))=s(t_h4s_totos_cpn,h4s_totos_less))&![X6]:![X27]:![X37]:((s(t_h4s_totos_cpn,happ(s(t_fun(X16,t_h4s_totos_cpn),happ(s(t_fun(X16,t_fun(X16,t_h4s_totos_cpn)),X19),s(X16,X6))),s(X16,X27)))=s(t_h4s_totos_cpn,h4s_totos_less)&s(t_h4s_totos_cpn,happ(s(t_fun(X16,t_h4s_totos_cpn),happ(s(t_fun(X16,t_fun(X16,t_h4s_totos_cpn)),X19),s(X16,X27))),s(X16,X37)))=s(t_h4s_totos_cpn,h4s_totos_less))=>s(t_h4s_totos_cpn,happ(s(t_fun(X16,t_h4s_totos_cpn),happ(s(t_fun(X16,t_fun(X16,t_h4s_totos_cpn)),X19),s(X16,X6))),s(X16,X37)))=s(t_h4s_totos_cpn,h4s_totos_less))))),file('i/f/toto/charOrd__gt__lem', ah4s_totos_TotOrd0)).
fof(91, axiom,![X16]:![X7]:(p(s(t_bool,h4s_totos_totord(s(t_fun(X16,t_fun(X16,t_h4s_totos_cpn)),X7))))<=>s(t_fun(X16,t_fun(X16,t_h4s_totos_cpn)),h4s_totos_apto(s(t_h4s_totos_toto(X16),h4s_totos_to(s(t_fun(X16,t_fun(X16,t_h4s_totos_cpn)),X7)))))=s(t_fun(X16,t_fun(X16,t_h4s_totos_cpn)),X7)),file('i/f/toto/charOrd__gt__lem', ah4s_totos_TOu_u_aptou_u_TOu_u_ID)).
fof(133, conjecture,![X8]:![X9]:(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,X9))),s(t_h4s_nums_num,X8)))=s(t_h4s_totos_cpn,h4s_totos_greater)=>(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),happ(s(t_fun(t_h4s_nums_num,t_fun(t_h4s_nums_num,t_bool)),h4s_primu_u_recs_u_3c),s(t_h4s_nums_num,X9))),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero)))))))))))))))))))))=s(t_bool,t)=>s(t_h4s_totos_cpn,happ(s(t_fun(t_h4s_strings_char,t_h4s_totos_cpn),happ(s(t_fun(t_h4s_strings_char,t_fun(t_h4s_strings_char,t_h4s_totos_cpn)),h4s_totos_charord),s(t_h4s_strings_char,h4s_strings_chr(s(t_h4s_nums_num,X9))))),s(t_h4s_strings_char,h4s_strings_chr(s(t_h4s_nums_num,X8)))))=s(t_h4s_totos_cpn,h4s_totos_greater))),file('i/f/toto/charOrd__gt__lem', ch4s_totos_charOrdu_u_gtu_u_lem)).
# SZS output end CNFRefutation
