# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(7, axiom,![X7]:s(t_fun(t_h4s_ringNorms_polynom(X7),t_h4s_ringNorms_polynom(X7)),h4s_ringnorms_popp)=s(t_fun(t_h4s_ringNorms_polynom(X7),t_h4s_ringNorms_polynom(X7)),h4s_ringnorms_u_20u_40indu_u_typeringnorm4),file('i/f/ringNorm/polynom__11_c4', ah4s_ringNorms_Popp0)).
fof(17, axiom,![X7]:s(t_fun(X7,t_h4s_ringNorms_polynom(X7)),h4s_ringnorms_pconst)=s(t_fun(X7,t_h4s_ringNorms_polynom(X7)),h4s_ringnorms_u_20u_40indu_u_typeringnorm1),file('i/f/ringNorm/polynom__11_c4', ah4s_ringNorms_Pconst0)).
fof(37, axiom,![X21]:![X7]:![X33]:![X34]:![X35]:![X36]:![X4]:![X8]:s(X21,h4s_ringnorms_polynomu_u_case(s(t_h4s_ringNorms_polynom(X7),happ(s(t_fun(t_h4s_ringNorms_polynom(X7),t_h4s_ringNorms_polynom(X7)),h4s_ringnorms_popp),s(t_h4s_ringNorms_polynom(X7),X8))),s(t_fun(t_h4s_quotes_index,X21),X4),s(t_fun(X7,X21),X36),s(t_fun(t_h4s_ringNorms_polynom(X7),t_fun(t_h4s_ringNorms_polynom(X7),X21)),X35),s(t_fun(t_h4s_ringNorms_polynom(X7),t_fun(t_h4s_ringNorms_polynom(X7),X21)),X34),s(t_fun(t_h4s_ringNorms_polynom(X7),X21),X33)))=s(X21,happ(s(t_fun(t_h4s_ringNorms_polynom(X7),X21),X33),s(t_h4s_ringNorms_polynom(X7),X8))),file('i/f/ringNorm/polynom__11_c4', ah4s_ringNorms_polynomu_u_caseu_u_defu_c4)).
fof(48, axiom,![X7]:![X38]:![X8]:(s(t_h4s_ringNorms_polynom(X7),happ(s(t_fun(X7,t_h4s_ringNorms_polynom(X7)),h4s_ringnorms_pconst),s(X7,X8)))=s(t_h4s_ringNorms_polynom(X7),happ(s(t_fun(X7,t_h4s_ringNorms_polynom(X7)),h4s_ringnorms_pconst),s(X7,X38)))<=>s(X7,X8)=s(X7,X38)),file('i/f/ringNorm/polynom__11_c4', ah4s_ringNorms_polynomu_u_11u_c1)).
fof(133, conjecture,![X7]:![X38]:![X8]:(s(t_h4s_ringNorms_polynom(X7),happ(s(t_fun(t_h4s_ringNorms_polynom(X7),t_h4s_ringNorms_polynom(X7)),h4s_ringnorms_popp),s(t_h4s_ringNorms_polynom(X7),X8)))=s(t_h4s_ringNorms_polynom(X7),happ(s(t_fun(t_h4s_ringNorms_polynom(X7),t_h4s_ringNorms_polynom(X7)),h4s_ringnorms_popp),s(t_h4s_ringNorms_polynom(X7),X38)))<=>s(t_h4s_ringNorms_polynom(X7),X8)=s(t_h4s_ringNorms_polynom(X7),X38)),file('i/f/ringNorm/polynom__11_c4', ch4s_ringNorms_polynomu_u_11u_c4)).
# SZS output end CNFRefutation
