# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:s(X1,happ(s(t_fun(t_h4s_canonicals_canonicalu_u_sum(X1),X1),happ(s(t_fun(X1,t_fun(t_h4s_canonicals_canonicalu_u_sum(X1),X1)),happ(s(t_fun(t_h4s_quotes_varmap(X1),t_fun(X1,t_fun(t_h4s_canonicals_canonicalu_u_sum(X1),X1))),h4s_ringnorms_ru_u_icsu_u_aux(s(t_h4s_rings_ring(X1),X3))),s(t_h4s_quotes_varmap(X1),X2))),s(X1,X4))),s(t_h4s_canonicals_canonicalu_u_sum(X1),h4s_canonicals_nilu_u_monom)))=s(X1,X4),file('i/f/ringNorm/ics__aux__def_c0', ch4s_ringNorms_icsu_u_auxu_u_defu_c0)).
fof(4, axiom,![X1]:![X2]:![X11]:![X4]:s(X1,happ(s(t_fun(t_h4s_canonicals_canonicalu_u_sum(X1),X1),happ(s(t_fun(X1,t_fun(t_h4s_canonicals_canonicalu_u_sum(X1),X1)),happ(s(t_fun(t_h4s_quotes_varmap(X1),t_fun(X1,t_fun(t_h4s_canonicals_canonicalu_u_sum(X1),X1))),h4s_canonicals_icsu_u_aux(s(t_h4s_semiu_u_rings_semiu_u_ring(X1),X11))),s(t_h4s_quotes_varmap(X1),X2))),s(X1,X4))),s(t_h4s_canonicals_canonicalu_u_sum(X1),h4s_canonicals_nilu_u_monom)))=s(X1,X4),file('i/f/ringNorm/ics__aux__def_c0', ah4s_canonicals_icsu_u_auxu_u_defu_c0)).
fof(7, axiom,![X1]:![X3]:s(t_fun(t_h4s_quotes_varmap(X1),t_fun(X1,t_fun(t_h4s_canonicals_canonicalu_u_sum(X1),X1))),h4s_ringnorms_ru_u_icsu_u_aux(s(t_h4s_rings_ring(X1),X3)))=s(t_fun(t_h4s_quotes_varmap(X1),t_fun(X1,t_fun(t_h4s_canonicals_canonicalu_u_sum(X1),X1))),h4s_canonicals_icsu_u_aux(s(t_h4s_semiu_u_rings_semiu_u_ring(X1),h4s_rings_semiu_u_ringu_u_of(s(t_h4s_rings_ring(X1),X3))))),file('i/f/ringNorm/ics__aux__def_c0', ah4s_ringNorms_ru_u_icsu_u_auxu_u_def)).
# SZS output end CNFRefutation
