# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(p(s(t_bool,h4s_totos_totord(s(t_fun(X1,t_fun(X1,t_h4s_totos_cpn)),X2))))=>![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)),X2),s(X1,X3))),s(X1,X3)))=s(t_h4s_totos_cpn,h4s_totos_equal)),file('i/f/toto/TO__refl', ch4s_totos_TOu_u_refl)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/toto/TO__refl', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/toto/TO__refl', aHLu_FALSITY)).
fof(4, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)|s(t_bool,X4)=s(t_bool,f)),file('i/f/toto/TO__refl', aHLu_BOOLu_CASES)).
fof(6, axiom,![X1]:![X2]:(p(s(t_bool,h4s_totos_totord(s(t_fun(X1,t_fun(X1,t_h4s_totos_cpn)),X2))))<=>(![X3]:![X9]:(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)),X2),s(X1,X3))),s(X1,X9)))=s(t_h4s_totos_cpn,h4s_totos_equal)<=>s(X1,X3)=s(X1,X9))&(![X3]:![X9]:(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)),X2),s(X1,X3))),s(X1,X9)))=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)),X2),s(X1,X9))),s(X1,X3)))=s(t_h4s_totos_cpn,h4s_totos_less))&![X3]:![X9]:![X10]:((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)),X2),s(X1,X3))),s(X1,X9)))=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)),X2),s(X1,X9))),s(X1,X10)))=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)),X2),s(X1,X3))),s(X1,X10)))=s(t_h4s_totos_cpn,h4s_totos_less))))),file('i/f/toto/TO__refl', ah4s_totos_TotOrd0)).
# SZS output end CNFRefutation
