# 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,X2))),s(X1,X3)))=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),X4))),s(X1,X3))),s(X1,X2))),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__swap__cases', ch4s_totos_totou_u_swapu_u_cases)).
fof(5, axiom,![X1]:![X5]:![X6]:![X7]:s(X1,h4s_totos_cpnu_u_case(s(t_h4s_totos_cpn,h4s_totos_greater),s(X1,X7),s(X1,X6),s(X1,X5)))=s(X1,X5),file('i/f/toto/toto__swap__cases', ah4s_totos_cpnu_u_caseu_u_defu_c2)).
fof(6, axiom,![X1]:![X5]:![X6]:![X7]:s(X1,h4s_totos_cpnu_u_case(s(t_h4s_totos_cpn,h4s_totos_less),s(X1,X7),s(X1,X6),s(X1,X5)))=s(X1,X7),file('i/f/toto/toto__swap__cases', ah4s_totos_cpnu_u_caseu_u_defu_c0)).
fof(7, axiom,![X1]:![X5]:![X6]:![X7]:s(X1,h4s_totos_cpnu_u_case(s(t_h4s_totos_cpn,h4s_totos_equal),s(X1,X7),s(X1,X6),s(X1,X5)))=s(X1,X6),file('i/f/toto/toto__swap__cases', ah4s_totos_cpnu_u_caseu_u_defu_c1)).
fof(11, axiom,![X18]:(s(t_h4s_totos_cpn,X18)=s(t_h4s_totos_cpn,h4s_totos_less)|(s(t_h4s_totos_cpn,X18)=s(t_h4s_totos_cpn,h4s_totos_equal)|s(t_h4s_totos_cpn,X18)=s(t_h4s_totos_cpn,h4s_totos_greater))),file('i/f/toto/toto__swap__cases', ah4s_totos_cpnu_u_nchotomy)).
fof(22, axiom,![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_equal)<=>s(X1,X3)=s(X1,X2)),file('i/f/toto/toto__swap__cases', ah4s_totos_totou_u_equalu_u_eq)).
fof(24, axiom,![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__swap__cases', ah4s_totos_totou_u_antisym)).
# SZS output end CNFRefutation
