# 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),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))),happ(s(t_fun(X1,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_monom),s(X1,X4))),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_c0', ch4s_canonicals_canonicalu_u_sumu_u_distinctu_c0)).
fof(31, axiom,![X37]:![X34]:~(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,X34)))=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,X37)))),file('i/f/canonical/canonical__sum__distinct_c0', ah4s_quotes_indexu_u_distinctu_c0)).
fof(34, axiom,![X1]:s(t_fun(X1,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_monom)=s(t_fun(X1,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_typecanonical1),file('i/f/canonical/canonical__sum__distinct_c0', ah4s_canonicals_Consu_u_monom0)).
fof(35, axiom,![X17]:![X1]:![X39]:![X40]:![X7]:![X2]:![X3]:![X4]:s(X17,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))),happ(s(t_fun(X1,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_monom),s(X1,X4))),s(t_h4s_lists_list(t_h4s_quotes_index),X3))),s(t_h4s_canonicals_canonicalu_u_sum(X1),X2))),s(X17,X39),s(t_fun(X1,t_fun(t_h4s_lists_list(t_h4s_quotes_index),t_fun(t_h4s_canonicals_canonicalu_u_sum(X1),X17))),X7),s(t_fun(t_h4s_lists_list(t_h4s_quotes_index),t_fun(t_h4s_canonicals_canonicalu_u_sum(X1),X17)),X40)))=s(X17,happ(s(t_fun(t_h4s_canonicals_canonicalu_u_sum(X1),X17),happ(s(t_fun(t_h4s_lists_list(t_h4s_quotes_index),t_fun(t_h4s_canonicals_canonicalu_u_sum(X1),X17)),happ(s(t_fun(X1,t_fun(t_h4s_lists_list(t_h4s_quotes_index),t_fun(t_h4s_canonicals_canonicalu_u_sum(X1),X17))),X7),s(X1,X4))),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_c0', ah4s_canonicals_canonicalu_u_sumu_u_caseu_u_defu_c1)).
fof(36, 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_c0', ah4s_canonicals_Nilu_u_monom0)).
fof(37, axiom,![X1]:![X17]:![X39]:![X40]:![X7]:s(X17,h4s_canonicals_canonicalu_u_sumu_u_case(s(t_h4s_canonicals_canonicalu_u_sum(X1),h4s_canonicals_nilu_u_monom),s(X17,X39),s(t_fun(X1,t_fun(t_h4s_lists_list(t_h4s_quotes_index),t_fun(t_h4s_canonicals_canonicalu_u_sum(X1),X17))),X7),s(t_fun(t_h4s_lists_list(t_h4s_quotes_index),t_fun(t_h4s_canonicals_canonicalu_u_sum(X1),X17)),X40)))=s(X17,X39),file('i/f/canonical/canonical__sum__distinct_c0', ah4s_canonicals_canonicalu_u_sumu_u_caseu_u_defu_c0)).
# SZS output end CNFRefutation
