# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:~(s(t_h4s_ringNorms_polynom(X1),happ(s(t_fun(X1,t_h4s_ringNorms_polynom(X1)),h4s_ringnorms_pconst),s(X1,X3)))=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),X2)))),file('i/f/ringNorm/polynom__distinct_c6', ch4s_ringNorms_polynomu_u_distinctu_c6)).
fof(25, 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_c6', ah4s_ringNorms_Popp0)).
fof(30, axiom,![X11]:![X1]:![X28]:![X29]:![X30]:![X31]:![X6]:![X3]:s(X11,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),X3))),s(t_fun(t_h4s_quotes_index,X11),X6),s(t_fun(X1,X11),X31),s(t_fun(t_h4s_ringNorms_polynom(X1),t_fun(t_h4s_ringNorms_polynom(X1),X11)),X30),s(t_fun(t_h4s_ringNorms_polynom(X1),t_fun(t_h4s_ringNorms_polynom(X1),X11)),X29),s(t_fun(t_h4s_ringNorms_polynom(X1),X11),X28)))=s(X11,happ(s(t_fun(t_h4s_ringNorms_polynom(X1),X11),X28),s(t_h4s_ringNorms_polynom(X1),X3))),file('i/f/ringNorm/polynom__distinct_c6', ah4s_ringNorms_polynomu_u_caseu_u_defu_c4)).
fof(31, axiom,![X1]:s(t_fun(X1,t_h4s_ringNorms_polynom(X1)),h4s_ringnorms_pconst)=s(t_fun(X1,t_h4s_ringNorms_polynom(X1)),h4s_ringnorms_u_20u_40indu_u_typeringnorm1),file('i/f/ringNorm/polynom__distinct_c6', ah4s_ringNorms_Pconst0)).
fof(32, axiom,![X1]:![X32]:![X33]:![X3]:~(s(t_h4s_ringNorms_polynom(X1),happ(s(t_fun(X1,t_h4s_ringNorms_polynom(X1)),h4s_ringnorms_pconst),s(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),X33))),s(t_h4s_ringNorms_polynom(X1),X32)))),file('i/f/ringNorm/polynom__distinct_c6', ah4s_ringNorms_polynomu_u_distinctu_c4)).
fof(35, axiom,![X11]:![X1]:![X28]:![X29]:![X30]:![X31]:![X6]:![X3]:s(X11,h4s_ringnorms_polynomu_u_case(s(t_h4s_ringNorms_polynom(X1),happ(s(t_fun(X1,t_h4s_ringNorms_polynom(X1)),h4s_ringnorms_pconst),s(X1,X3))),s(t_fun(t_h4s_quotes_index,X11),X6),s(t_fun(X1,X11),X31),s(t_fun(t_h4s_ringNorms_polynom(X1),t_fun(t_h4s_ringNorms_polynom(X1),X11)),X30),s(t_fun(t_h4s_ringNorms_polynom(X1),t_fun(t_h4s_ringNorms_polynom(X1),X11)),X29),s(t_fun(t_h4s_ringNorms_polynom(X1),X11),X28)))=s(X11,happ(s(t_fun(X1,X11),X31),s(X1,X3))),file('i/f/ringNorm/polynom__distinct_c6', ah4s_ringNorms_polynomu_u_caseu_u_defu_c1)).
fof(77, 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_c6', ah4s_ringNorms_Pplus0)).
# SZS output end CNFRefutation
