# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:s(t_h4s_canonicals_canonicalu_u_sum(X1),happ(s(t_fun(t_h4s_canonicals_canonicalu_u_sum(X1),t_h4s_canonicals_canonicalu_u_sum(X1)),happ(s(t_fun(t_h4s_canonicals_canonicalu_u_sum(X1),t_fun(t_h4s_canonicals_canonicalu_u_sum(X1),t_h4s_canonicals_canonicalu_u_sum(X1))),h4s_ringnorms_ru_u_canonicalu_u_sumu_u_merge(s(t_h4s_rings_ring(X1),X3))),s(t_h4s_canonicals_canonicalu_u_sum(X1),X2))),s(t_h4s_canonicals_canonicalu_u_sum(X1),h4s_canonicals_nilu_u_monom)))=s(t_h4s_canonicals_canonicalu_u_sum(X1),X2),file('i/f/ringNorm/canonical__sum__merge__def_c4', ch4s_ringNorms_canonicalu_u_sumu_u_mergeu_u_defu_c4)).
fof(8, axiom,![X1]:![X12]:![X2]:s(t_h4s_canonicals_canonicalu_u_sum(X1),happ(s(t_fun(t_h4s_canonicals_canonicalu_u_sum(X1),t_h4s_canonicals_canonicalu_u_sum(X1)),happ(s(t_fun(t_h4s_canonicals_canonicalu_u_sum(X1),t_fun(t_h4s_canonicals_canonicalu_u_sum(X1),t_h4s_canonicals_canonicalu_u_sum(X1))),h4s_canonicals_canonicalu_u_sumu_u_merge(s(t_h4s_semiu_u_rings_semiu_u_ring(X1),X12))),s(t_h4s_canonicals_canonicalu_u_sum(X1),X2))),s(t_h4s_canonicals_canonicalu_u_sum(X1),h4s_canonicals_nilu_u_monom)))=s(t_h4s_canonicals_canonicalu_u_sum(X1),X2),file('i/f/ringNorm/canonical__sum__merge__def_c4', ah4s_canonicals_canonicalu_u_sumu_u_mergeu_u_defu_c4)).
fof(11, axiom,![X1]:![X3]:s(t_fun(t_h4s_canonicals_canonicalu_u_sum(X1),t_fun(t_h4s_canonicals_canonicalu_u_sum(X1),t_h4s_canonicals_canonicalu_u_sum(X1))),h4s_ringnorms_ru_u_canonicalu_u_sumu_u_merge(s(t_h4s_rings_ring(X1),X3)))=s(t_fun(t_h4s_canonicals_canonicalu_u_sum(X1),t_fun(t_h4s_canonicals_canonicalu_u_sum(X1),t_h4s_canonicals_canonicalu_u_sum(X1))),h4s_canonicals_canonicalu_u_sumu_u_merge(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/canonical__sum__merge__def_c4', ah4s_ringNorms_ru_u_canonicalu_u_sumu_u_mergeu_u_def)).
# SZS output end CNFRefutation
