# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:((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),X5))),s(X1,X4))),s(X1,X3)))=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)),h4s_totos_apto(s(t_h4s_totos_toto(X1),X5))),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)),h4s_totos_apto(s(t_h4s_totos_toto(X1),X5))),s(X1,X4))),s(X1,X2)))=s(t_h4s_totos_cpn,h4s_totos_less)),file('i/f/toto/totoLLtrans', ch4s_totos_totoLLtrans)).
fof(28, axiom,![X1]:![X5]:(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)),X5))))<=>(![X4]:![X3]:(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)),X5),s(X1,X4))),s(X1,X3)))=s(t_h4s_totos_cpn,h4s_totos_equal)<=>s(X1,X4)=s(X1,X3))&(![X4]:![X3]:(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)),X5),s(X1,X4))),s(X1,X3)))=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)),X5),s(X1,X3))),s(X1,X4)))=s(t_h4s_totos_cpn,h4s_totos_less))&![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)),X5),s(X1,X4))),s(X1,X3)))=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)),X5),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)),X5),s(X1,X4))),s(X1,X2)))=s(t_h4s_totos_cpn,h4s_totos_less))))),file('i/f/toto/totoLLtrans', ah4s_totos_TotOrd0)).
fof(50, axiom,![X1]:![X13]:(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)),X13))))<=>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)),X13)))))=s(t_fun(X1,t_fun(X1,t_h4s_totos_cpn)),X13)),file('i/f/toto/totoLLtrans', ah4s_totos_tou_u_biju_c1)).
fof(53, axiom,![X1]:![X26]:?[X13]:(s(t_h4s_totos_toto(X1),X26)=s(t_h4s_totos_toto(X1),h4s_totos_to(s(t_fun(X1,t_fun(X1,t_h4s_totos_cpn)),X13)))&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)),X13))))),file('i/f/toto/totoLLtrans', ah4s_totos_TOu_u_onto)).
fof(58, axiom,p(s(t_bool,t)),file('i/f/toto/totoLLtrans', aHLu_TRUTH)).
fof(65, axiom,![X10]:(s(t_bool,X10)=s(t_bool,t)<=>p(s(t_bool,X10))),file('i/f/toto/totoLLtrans', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(67, axiom,![X10]:(s(t_bool,f)=s(t_bool,X10)<=>~(p(s(t_bool,X10)))),file('i/f/toto/totoLLtrans', ah4s_bools_EQu_u_CLAUSESu_c2)).
# SZS output end CNFRefutation
