# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:(s(t_h4s_totos_cpn,happ(s(t_fun(X1,t_h4s_totos_cpn),happ(s(t_fun(X1,t_fun(X1,t_h4s_totos_cpn)),h4s_totos_apto(s(t_h4s_totos_toto(X1),X4))),s(X1,X3))),s(X1,X2)))=s(t_h4s_totos_cpn,h4s_totos_greater)<=>s(t_h4s_totos_cpn,happ(s(t_fun(X1,t_h4s_totos_cpn),happ(s(t_fun(X1,t_fun(X1,t_h4s_totos_cpn)),h4s_totos_apto(s(t_h4s_totos_toto(X1),X4))),s(X1,X2))),s(X1,X3)))=s(t_h4s_totos_cpn,h4s_totos_less)),file('i/f/toto/toto__antisym', ch4s_totos_totou_u_antisym)).
fof(4, axiom,![X6]:![X7]:(s(t_bool,X7)=s(t_bool,X6)<=>((p(s(t_bool,X7))=>p(s(t_bool,X6)))&(p(s(t_bool,X6))=>p(s(t_bool,X7))))),file('i/f/toto/toto__antisym', ah4s_bools_EQu_u_IMPu_u_THM)).
fof(19, axiom,![X1]:![X4]:(p(s(t_bool,happ(s(t_fun(t_fun(X1,t_fun(X1,t_h4s_totos_cpn)),t_bool),h4s_totos_totord),s(t_fun(X1,t_fun(X1,t_h4s_totos_cpn)),X4))))<=>(![X3]:![X2]:(s(t_h4s_totos_cpn,happ(s(t_fun(X1,t_h4s_totos_cpn),happ(s(t_fun(X1,t_fun(X1,t_h4s_totos_cpn)),X4),s(X1,X3))),s(X1,X2)))=s(t_h4s_totos_cpn,h4s_totos_equal)<=>s(X1,X3)=s(X1,X2))&(![X3]:![X2]:(s(t_h4s_totos_cpn,happ(s(t_fun(X1,t_h4s_totos_cpn),happ(s(t_fun(X1,t_fun(X1,t_h4s_totos_cpn)),X4),s(X1,X3))),s(X1,X2)))=s(t_h4s_totos_cpn,h4s_totos_greater)<=>s(t_h4s_totos_cpn,happ(s(t_fun(X1,t_h4s_totos_cpn),happ(s(t_fun(X1,t_fun(X1,t_h4s_totos_cpn)),X4),s(X1,X2))),s(X1,X3)))=s(t_h4s_totos_cpn,h4s_totos_less))&![X3]:![X2]:![X15]:((s(t_h4s_totos_cpn,happ(s(t_fun(X1,t_h4s_totos_cpn),happ(s(t_fun(X1,t_fun(X1,t_h4s_totos_cpn)),X4),s(X1,X3))),s(X1,X2)))=s(t_h4s_totos_cpn,h4s_totos_less)&s(t_h4s_totos_cpn,happ(s(t_fun(X1,t_h4s_totos_cpn),happ(s(t_fun(X1,t_fun(X1,t_h4s_totos_cpn)),X4),s(X1,X2))),s(X1,X15)))=s(t_h4s_totos_cpn,h4s_totos_less))=>s(t_h4s_totos_cpn,happ(s(t_fun(X1,t_h4s_totos_cpn),happ(s(t_fun(X1,t_fun(X1,t_h4s_totos_cpn)),X4),s(X1,X3))),s(X1,X15)))=s(t_h4s_totos_cpn,h4s_totos_less))))),file('i/f/toto/toto__antisym', ah4s_totos_TotOrd0)).
fof(22, axiom,s(t_h4s_nums_num,h4s_totos_cpn2num(s(t_h4s_totos_cpn,h4s_totos_less)))=s(t_h4s_nums_num,h4s_nums_0),file('i/f/toto/toto__antisym', ah4s_totos_cpn2numu_u_thmu_c0)).
fof(41, axiom,![X1]:![X12]:(p(s(t_bool,happ(s(t_fun(t_fun(X1,t_fun(X1,t_h4s_totos_cpn)),t_bool),h4s_totos_totord),s(t_fun(X1,t_fun(X1,t_h4s_totos_cpn)),X12))))<=>s(t_fun(X1,t_fun(X1,t_h4s_totos_cpn)),h4s_totos_apto(s(t_h4s_totos_toto(X1),h4s_totos_to(s(t_fun(X1,t_fun(X1,t_h4s_totos_cpn)),X12)))))=s(t_fun(X1,t_fun(X1,t_h4s_totos_cpn)),X12)),file('i/f/toto/toto__antisym', ah4s_totos_tou_u_biju_c1)).
fof(44, axiom,![X1]:![X28]:?[X12]:(s(t_h4s_totos_toto(X1),X28)=s(t_h4s_totos_toto(X1),h4s_totos_to(s(t_fun(X1,t_fun(X1,t_h4s_totos_cpn)),X12)))&p(s(t_bool,happ(s(t_fun(t_fun(X1,t_fun(X1,t_h4s_totos_cpn)),t_bool),h4s_totos_totord),s(t_fun(X1,t_fun(X1,t_h4s_totos_cpn)),X12))))),file('i/f/toto/toto__antisym', ah4s_totos_TOu_u_onto)).
fof(55, axiom,~(p(s(t_bool,f))),file('i/f/toto/toto__antisym', aHLu_FALSITY)).
fof(59, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)<=>p(s(t_bool,X5))),file('i/f/toto/toto__antisym', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(63, axiom,![X34]:![X35]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,X34))),s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X35))))))<=>~(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X35),s(t_h4s_nums_num,X34)))))),file('i/f/toto/toto__antisym', ah4s_numerals_numeralu_u_lteu_c5)).
fof(71, axiom,![X34]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X34)))),file('i/f/toto/toto__antisym', ah4s_arithmetics_ZEROu_u_LESSu_u_EQ)).
fof(77, axiom,![X5]:((p(s(t_bool,X5))=>p(s(t_bool,f)))<=>s(t_bool,X5)=s(t_bool,f)),file('i/f/toto/toto__antisym', ah4s_bools_IMPu_u_Fu_u_EQu_u_F)).
fof(79, axiom,![X34]:s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X34))),s(t_h4s_nums_num,h4s_arithmetics_zero)))=s(t_bool,f),file('i/f/toto/toto__antisym', ah4s_numerals_numeralu_u_lteu_c1)).
# SZS output end CNFRefutation
