# 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_pmult),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_c9', ch4s_ringNorms_polynomu_u_distinctu_c9)).
fof(24, axiom,![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_c9', ah4s_ringNorms_polynomu_u_distinctu_c8)).
fof(29, axiom,![X1]:![X26]:![X2]:![X27]:![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),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),X27))),s(t_h4s_ringNorms_polynom(X1),X26)))<=>(s(t_h4s_ringNorms_polynom(X1),X3)=s(t_h4s_ringNorms_polynom(X1),X27)&s(t_h4s_ringNorms_polynom(X1),X2)=s(t_h4s_ringNorms_polynom(X1),X26))),file('i/f/ringNorm/polynom__distinct_c9', ah4s_ringNorms_polynomu_u_11u_c3)).
fof(37, 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_c9', ah4s_ringNorms_Popp0)).
fof(40, axiom,![X12]:![X1]:![X29]:![X30]:![X31]:![X32]:![X7]:![X4]: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)),h4s_ringnorms_popp),s(t_h4s_ringNorms_polynom(X1),X4))),s(t_fun(t_h4s_quotes_index,X12),X7),s(t_fun(X1,X12),X32),s(t_fun(t_h4s_ringNorms_polynom(X1),t_fun(t_h4s_ringNorms_polynom(X1),X12)),X31),s(t_fun(t_h4s_ringNorms_polynom(X1),t_fun(t_h4s_ringNorms_polynom(X1),X12)),X30),s(t_fun(t_h4s_ringNorms_polynom(X1),X12),X29)))=s(X12,happ(s(t_fun(t_h4s_ringNorms_polynom(X1),X12),X29),s(t_h4s_ringNorms_polynom(X1),X4))),file('i/f/ringNorm/polynom__distinct_c9', ah4s_ringNorms_polynomu_u_caseu_u_defu_c4)).
fof(41, 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_c9', ah4s_ringNorms_Pmult0)).
fof(43, axiom,![X12]:![X1]:![X29]:![X30]:![X31]:![X32]:![X7]:![X2]:![X3]: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),X3))),s(t_h4s_ringNorms_polynom(X1),X2))),s(t_fun(t_h4s_quotes_index,X12),X7),s(t_fun(X1,X12),X32),s(t_fun(t_h4s_ringNorms_polynom(X1),t_fun(t_h4s_ringNorms_polynom(X1),X12)),X31),s(t_fun(t_h4s_ringNorms_polynom(X1),t_fun(t_h4s_ringNorms_polynom(X1),X12)),X30),s(t_fun(t_h4s_ringNorms_polynom(X1),X12),X29)))=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)),X30),s(t_h4s_ringNorms_polynom(X1),X3))),s(t_h4s_ringNorms_polynom(X1),X2))),file('i/f/ringNorm/polynom__distinct_c9', ah4s_ringNorms_polynomu_u_caseu_u_defu_c3)).
fof(68, 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_c9', ah4s_ringNorms_Pplus0)).
# SZS output end CNFRefutation
