# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:(s(t_h4s_ringNorms_polynom(X1),happ(s(t_fun(t_h4s_ringNorms_polynom(X1),t_h4s_ringNorms_polynom(X1)),happ(s(t_fun(t_h4s_ringNorms_polynom(X1),t_fun(t_h4s_ringNorms_polynom(X1),t_h4s_ringNorms_polynom(X1))),h4s_ringnorms_pmult),s(t_h4s_ringNorms_polynom(X1),X5))),s(t_h4s_ringNorms_polynom(X1),X3)))=s(t_h4s_ringNorms_polynom(X1),happ(s(t_fun(t_h4s_ringNorms_polynom(X1),t_h4s_ringNorms_polynom(X1)),happ(s(t_fun(t_h4s_ringNorms_polynom(X1),t_fun(t_h4s_ringNorms_polynom(X1),t_h4s_ringNorms_polynom(X1))),h4s_ringnorms_pmult),s(t_h4s_ringNorms_polynom(X1),X4))),s(t_h4s_ringNorms_polynom(X1),X2)))<=>(s(t_h4s_ringNorms_polynom(X1),X5)=s(t_h4s_ringNorms_polynom(X1),X4)&s(t_h4s_ringNorms_polynom(X1),X3)=s(t_h4s_ringNorms_polynom(X1),X2))),file('i/f/ringNorm/polynom__11_c3', ch4s_ringNorms_polynomu_u_11u_c3)).
fof(9, axiom,![X12]:![X1]:![X17]:![X18]:![X19]:![X20]:![X10]:![X3]:![X5]:s(X12,h4s_ringnorms_polynomu_u_case(s(t_h4s_ringNorms_polynom(X1),happ(s(t_fun(t_h4s_ringNorms_polynom(X1),t_h4s_ringNorms_polynom(X1)),happ(s(t_fun(t_h4s_ringNorms_polynom(X1),t_fun(t_h4s_ringNorms_polynom(X1),t_h4s_ringNorms_polynom(X1))),h4s_ringnorms_pmult),s(t_h4s_ringNorms_polynom(X1),X5))),s(t_h4s_ringNorms_polynom(X1),X3))),s(t_fun(t_h4s_quotes_index,X12),X10),s(t_fun(X1,X12),X20),s(t_fun(t_h4s_ringNorms_polynom(X1),t_fun(t_h4s_ringNorms_polynom(X1),X12)),X19),s(t_fun(t_h4s_ringNorms_polynom(X1),t_fun(t_h4s_ringNorms_polynom(X1),X12)),X18),s(t_fun(t_h4s_ringNorms_polynom(X1),X12),X17)))=s(X12,happ(s(t_fun(t_h4s_ringNorms_polynom(X1),X12),happ(s(t_fun(t_h4s_ringNorms_polynom(X1),t_fun(t_h4s_ringNorms_polynom(X1),X12)),X18),s(t_h4s_ringNorms_polynom(X1),X5))),s(t_h4s_ringNorms_polynom(X1),X3))),file('i/f/ringNorm/polynom__11_c3', ah4s_ringNorms_polynomu_u_caseu_u_defu_c3)).
fof(37, axiom,![X1]:![X2]:![X3]:![X4]:![X5]:(s(t_h4s_ringNorms_polynom(X1),happ(s(t_fun(t_h4s_ringNorms_polynom(X1),t_h4s_ringNorms_polynom(X1)),happ(s(t_fun(t_h4s_ringNorms_polynom(X1),t_fun(t_h4s_ringNorms_polynom(X1),t_h4s_ringNorms_polynom(X1))),h4s_ringnorms_pplus),s(t_h4s_ringNorms_polynom(X1),X5))),s(t_h4s_ringNorms_polynom(X1),X3)))=s(t_h4s_ringNorms_polynom(X1),happ(s(t_fun(t_h4s_ringNorms_polynom(X1),t_h4s_ringNorms_polynom(X1)),happ(s(t_fun(t_h4s_ringNorms_polynom(X1),t_fun(t_h4s_ringNorms_polynom(X1),t_h4s_ringNorms_polynom(X1))),h4s_ringnorms_pplus),s(t_h4s_ringNorms_polynom(X1),X4))),s(t_h4s_ringNorms_polynom(X1),X2)))<=>(s(t_h4s_ringNorms_polynom(X1),X5)=s(t_h4s_ringNorms_polynom(X1),X4)&s(t_h4s_ringNorms_polynom(X1),X3)=s(t_h4s_ringNorms_polynom(X1),X2))),file('i/f/ringNorm/polynom__11_c3', ah4s_ringNorms_polynomu_u_11u_c2)).
# SZS output end CNFRefutation
