# 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,X3))),s(X1,X4)))=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),X5))),s(X1,X2))),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)),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/toto__trans__less_c2', ch4s_totos_totou_u_transu_u_lessu_c2)).
fof(27, axiom,![X1]:![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_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),X5))),s(X1,X3))),s(X1,X4)))=s(t_h4s_totos_cpn,h4s_totos_less)),file('i/f/toto/toto__trans__less_c2', ah4s_totos_totou_u_antisym)).
fof(31, axiom,![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,X3))),s(X1,X4)))=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),X5))),s(X1,X2))),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)),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/toto__trans__less_c2', ah4s_totos_totoGGtrans)).
fof(33, axiom,![X1]:![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,X3))),s(X1,X4)))=s(t_h4s_totos_cpn,h4s_totos_cpnu_u_case(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_greater),s(t_h4s_totos_cpn,h4s_totos_equal),s(t_h4s_totos_cpn,h4s_totos_less))),file('i/f/toto/toto__trans__less_c2', ah4s_totos_totou_u_swapu_u_cases)).
fof(36, axiom,![X1]:![X3]:![X4]:![X22]:(~(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),X22))),s(X1,X4))),s(X1,X3)))=s(t_h4s_totos_cpn,h4s_totos_less))=>(s(X1,X4)=s(X1,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)),h4s_totos_apto(s(t_h4s_totos_toto(X1),X22))),s(X1,X3))),s(X1,X4)))=s(t_h4s_totos_cpn,h4s_totos_less))),file('i/f/toto/toto__trans__less_c2', ah4s_totos_NOTu_u_EQu_u_LESSu_u_IMP)).
fof(42, axiom,~(s(t_h4s_totos_cpn,h4s_totos_less)=s(t_h4s_totos_cpn,h4s_totos_equal)),file('i/f/toto/toto__trans__less_c2', ah4s_totos_allu_u_cpnu_u_distinctu_c0)).
fof(44, axiom,![X1]:![X24]:![X26]:![X28]:s(X1,h4s_totos_cpnu_u_case(s(t_h4s_totos_cpn,h4s_totos_less),s(X1,X28),s(X1,X26),s(X1,X24)))=s(X1,X28),file('i/f/toto/toto__trans__less_c2', ah4s_totos_cpnu_u_caseu_u_defu_c0)).
fof(49, axiom,![X1]:![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,X4)))=s(t_h4s_totos_cpn,h4s_totos_equal),file('i/f/toto/toto__trans__less_c2', ah4s_totos_totou_u_refl)).
# SZS output end CNFRefutation
