# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:~(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),X3))),s(t_h4s_ringNorms_polynom(X1),X2)))=s(t_h4s_ringNorms_polynom(X1),happ(s(t_fun(t_h4s_ringNorms_polynom(X1),t_h4s_ringNorms_polynom(X1)),h4s_ringnorms_popp),s(t_h4s_ringNorms_polynom(X1),X4)))),file('i/f/ringNorm/polynom__distinct_c8', ch4s_ringNorms_polynomu_u_distinctu_c8)).
fof(22, axiom,![X1]:![X30]:![X2]:![X31]:![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),X3))),s(t_h4s_ringNorms_polynom(X1),X2)))=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),X31))),s(t_h4s_ringNorms_polynom(X1),X30)))),file('i/f/ringNorm/polynom__distinct_c8', ah4s_ringNorms_polynomu_u_distinctu_c7)).
fof(32, axiom,![X1]:s(t_fun(t_h4s_ringNorms_polynom(X1),t_h4s_ringNorms_polynom(X1)),h4s_ringnorms_popp)=s(t_fun(t_h4s_ringNorms_polynom(X1),t_h4s_ringNorms_polynom(X1)),h4s_ringnorms_u_20u_40indu_u_typeringnorm4),file('i/f/ringNorm/polynom__distinct_c8', ah4s_ringNorms_Popp0)).
fof(35, axiom,![X17]:![X1]:![X33]:![X34]:![X35]:![X36]:![X7]:![X4]:s(X17,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)),h4s_ringnorms_popp),s(t_h4s_ringNorms_polynom(X1),X4))),s(t_fun(t_h4s_quotes_index,X17),X7),s(t_fun(X1,X17),X36),s(t_fun(t_h4s_ringNorms_polynom(X1),t_fun(t_h4s_ringNorms_polynom(X1),X17)),X35),s(t_fun(t_h4s_ringNorms_polynom(X1),t_fun(t_h4s_ringNorms_polynom(X1),X17)),X34),s(t_fun(t_h4s_ringNorms_polynom(X1),X17),X33)))=s(X17,happ(s(t_fun(t_h4s_ringNorms_polynom(X1),X17),X33),s(t_h4s_ringNorms_polynom(X1),X4))),file('i/f/ringNorm/polynom__distinct_c8', ah4s_ringNorms_polynomu_u_caseu_u_defu_c4)).
fof(36, axiom,![X1]: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_fun(t_h4s_ringNorms_polynom(X1),t_fun(t_h4s_ringNorms_polynom(X1),t_h4s_ringNorms_polynom(X1))),h4s_ringnorms_u_20u_40indu_u_typeringnorm2),file('i/f/ringNorm/polynom__distinct_c8', ah4s_ringNorms_Pplus0)).
fof(38, axiom,![X17]:![X1]:![X33]:![X34]:![X35]:![X36]:![X7]:![X2]:![X3]:s(X17,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_pplus),s(t_h4s_ringNorms_polynom(X1),X3))),s(t_h4s_ringNorms_polynom(X1),X2))),s(t_fun(t_h4s_quotes_index,X17),X7),s(t_fun(X1,X17),X36),s(t_fun(t_h4s_ringNorms_polynom(X1),t_fun(t_h4s_ringNorms_polynom(X1),X17)),X35),s(t_fun(t_h4s_ringNorms_polynom(X1),t_fun(t_h4s_ringNorms_polynom(X1),X17)),X34),s(t_fun(t_h4s_ringNorms_polynom(X1),X17),X33)))=s(X17,happ(s(t_fun(t_h4s_ringNorms_polynom(X1),X17),happ(s(t_fun(t_h4s_ringNorms_polynom(X1),t_fun(t_h4s_ringNorms_polynom(X1),X17)),X35),s(t_h4s_ringNorms_polynom(X1),X3))),s(t_h4s_ringNorms_polynom(X1),X2))),file('i/f/ringNorm/polynom__distinct_c8', ah4s_ringNorms_polynomu_u_caseu_u_defu_c2)).
fof(74, axiom,![X1]: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_fun(t_h4s_ringNorms_polynom(X1),t_fun(t_h4s_ringNorms_polynom(X1),t_h4s_ringNorms_polynom(X1))),h4s_ringnorms_u_20u_40indu_u_typeringnorm3),file('i/f/ringNorm/polynom__distinct_c8', ah4s_ringNorms_Pmult0)).
# SZS output end CNFRefutation
