# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:s(t_h4s_canonicals_canonicalu_u_sum(X1),happ(s(t_fun(t_h4s_canonicals_spolynom(X1),t_h4s_canonicals_canonicalu_u_sum(X1)),h4s_ringnorms_ru_u_spolynomu_u_normalize(s(t_h4s_rings_ring(X1),X3))),s(t_h4s_canonicals_spolynom(X1),h4s_canonicals_spmult(s(t_h4s_canonicals_spolynom(X1),X4),s(t_h4s_canonicals_spolynom(X1),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_ringnorms_ru_u_canonicalu_u_sumu_u_prod(s(t_h4s_rings_ring(X1),X3))),s(t_h4s_canonicals_canonicalu_u_sum(X1),happ(s(t_fun(t_h4s_canonicals_spolynom(X1),t_h4s_canonicals_canonicalu_u_sum(X1)),h4s_ringnorms_ru_u_spolynomu_u_normalize(s(t_h4s_rings_ring(X1),X3))),s(t_h4s_canonicals_spolynom(X1),X4))))),s(t_h4s_canonicals_canonicalu_u_sum(X1),happ(s(t_fun(t_h4s_canonicals_spolynom(X1),t_h4s_canonicals_canonicalu_u_sum(X1)),h4s_ringnorms_ru_u_spolynomu_u_normalize(s(t_h4s_rings_ring(X1),X3))),s(t_h4s_canonicals_spolynom(X1),X2))))),file('i/f/ringNorm/spolynom__normalize__def_c3', ch4s_ringNorms_spolynomu_u_normalizeu_u_defu_c3)).
fof(4, axiom,![X1]:![X11]:![X3]:![X4]:s(t_h4s_canonicals_canonicalu_u_sum(X1),happ(s(t_fun(t_h4s_canonicals_spolynom(X1),t_h4s_canonicals_canonicalu_u_sum(X1)),h4s_canonicals_spolynomu_u_normalize(s(t_h4s_semiu_u_rings_semiu_u_ring(X1),X11))),s(t_h4s_canonicals_spolynom(X1),h4s_canonicals_spmult(s(t_h4s_canonicals_spolynom(X1),X4),s(t_h4s_canonicals_spolynom(X1),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_canonicals_canonicalu_u_sumu_u_prod(s(t_h4s_semiu_u_rings_semiu_u_ring(X1),X11))),s(t_h4s_canonicals_canonicalu_u_sum(X1),happ(s(t_fun(t_h4s_canonicals_spolynom(X1),t_h4s_canonicals_canonicalu_u_sum(X1)),h4s_canonicals_spolynomu_u_normalize(s(t_h4s_semiu_u_rings_semiu_u_ring(X1),X11))),s(t_h4s_canonicals_spolynom(X1),X4))))),s(t_h4s_canonicals_canonicalu_u_sum(X1),happ(s(t_fun(t_h4s_canonicals_spolynom(X1),t_h4s_canonicals_canonicalu_u_sum(X1)),h4s_canonicals_spolynomu_u_normalize(s(t_h4s_semiu_u_rings_semiu_u_ring(X1),X11))),s(t_h4s_canonicals_spolynom(X1),X3))))),file('i/f/ringNorm/spolynom__normalize__def_c3', ah4s_canonicals_spolynomu_u_normalizeu_u_defu_c3)).
fof(5, axiom,![X1]:![X3]:s(t_fun(t_h4s_canonicals_spolynom(X1),t_h4s_canonicals_canonicalu_u_sum(X1)),h4s_ringnorms_ru_u_spolynomu_u_normalize(s(t_h4s_rings_ring(X1),X3)))=s(t_fun(t_h4s_canonicals_spolynom(X1),t_h4s_canonicals_canonicalu_u_sum(X1)),h4s_canonicals_spolynomu_u_normalize(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/spolynom__normalize__def_c3', ah4s_ringNorms_ru_u_spolynomu_u_normalizeu_u_def)).
fof(6, 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_prod(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_prod(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/spolynom__normalize__def_c3', ah4s_ringNorms_ru_u_canonicalu_u_sumu_u_produ_u_def)).
# SZS output end CNFRefutation
