# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:~(s(t_h4s_canonicals_canonicalu_u_sum(X1),h4s_canonicals_nilu_u_monom)=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_lists_list(t_h4s_quotes_index),t_fun(t_h4s_canonicals_canonicalu_u_sum(X1),t_h4s_canonicals_canonicalu_u_sum(X1))),h4s_canonicals_consu_u_varlist),s(t_h4s_lists_list(t_h4s_quotes_index),X3))),s(t_h4s_canonicals_canonicalu_u_sum(X1),X2)))),file('i/f/canonical/canonical__sum__distinct_c1', ch4s_canonicals_canonicalu_u_sumu_u_distinctu_c1)).
fof(27, axiom,![X34]:![X28]:~(s(t_h4s_quotes_index,happ(s(t_fun(t_h4s_quotes_index,t_h4s_quotes_index),h4s_quotes_leftu_u_idx),s(t_h4s_quotes_index,X28)))=s(t_h4s_quotes_index,happ(s(t_fun(t_h4s_quotes_index,t_h4s_quotes_index),h4s_quotes_rightu_u_idx),s(t_h4s_quotes_index,X34)))),file('i/f/canonical/canonical__sum__distinct_c1', ah4s_quotes_indexu_u_distinctu_c0)).
fof(32, axiom,![X1]:s(t_fun(t_h4s_lists_list(t_h4s_quotes_index),t_fun(t_h4s_canonicals_canonicalu_u_sum(X1),t_h4s_canonicals_canonicalu_u_sum(X1))),h4s_canonicals_consu_u_varlist)=s(t_fun(t_h4s_lists_list(t_h4s_quotes_index),t_fun(t_h4s_canonicals_canonicalu_u_sum(X1),t_h4s_canonicals_canonicalu_u_sum(X1))),h4s_canonicals_u_20u_40indu_u_typecanonical2),file('i/f/canonical/canonical__sum__distinct_c1', ah4s_canonicals_Consu_u_varlist0)).
fof(34, axiom,![X16]:![X1]:![X38]:![X39]:![X6]:![X2]:![X3]:s(X16,h4s_canonicals_canonicalu_u_sumu_u_case(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_lists_list(t_h4s_quotes_index),t_fun(t_h4s_canonicals_canonicalu_u_sum(X1),t_h4s_canonicals_canonicalu_u_sum(X1))),h4s_canonicals_consu_u_varlist),s(t_h4s_lists_list(t_h4s_quotes_index),X3))),s(t_h4s_canonicals_canonicalu_u_sum(X1),X2))),s(X16,X38),s(t_fun(X1,t_fun(t_h4s_lists_list(t_h4s_quotes_index),t_fun(t_h4s_canonicals_canonicalu_u_sum(X1),X16))),X6),s(t_fun(t_h4s_lists_list(t_h4s_quotes_index),t_fun(t_h4s_canonicals_canonicalu_u_sum(X1),X16)),X39)))=s(X16,happ(s(t_fun(t_h4s_canonicals_canonicalu_u_sum(X1),X16),happ(s(t_fun(t_h4s_lists_list(t_h4s_quotes_index),t_fun(t_h4s_canonicals_canonicalu_u_sum(X1),X16)),X39),s(t_h4s_lists_list(t_h4s_quotes_index),X3))),s(t_h4s_canonicals_canonicalu_u_sum(X1),X2))),file('i/f/canonical/canonical__sum__distinct_c1', ah4s_canonicals_canonicalu_u_sumu_u_caseu_u_defu_c2)).
fof(35, axiom,![X1]:s(t_h4s_canonicals_canonicalu_u_sum(X1),h4s_canonicals_nilu_u_monom)=s(t_h4s_canonicals_canonicalu_u_sum(X1),h4s_canonicals_u_20u_40indu_u_typecanonical0),file('i/f/canonical/canonical__sum__distinct_c1', ah4s_canonicals_Nilu_u_monom0)).
fof(36, axiom,![X1]:![X16]:![X38]:![X39]:![X6]:s(X16,h4s_canonicals_canonicalu_u_sumu_u_case(s(t_h4s_canonicals_canonicalu_u_sum(X1),h4s_canonicals_nilu_u_monom),s(X16,X38),s(t_fun(X1,t_fun(t_h4s_lists_list(t_h4s_quotes_index),t_fun(t_h4s_canonicals_canonicalu_u_sum(X1),X16))),X6),s(t_fun(t_h4s_lists_list(t_h4s_quotes_index),t_fun(t_h4s_canonicals_canonicalu_u_sum(X1),X16)),X39)))=s(X16,X38),file('i/f/canonical/canonical__sum__distinct_c1', ah4s_canonicals_canonicalu_u_sumu_u_caseu_u_defu_c0)).
# SZS output end CNFRefutation
