# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:~(s(t_h4s_canonicals_spolynom(X1),happ(s(t_fun(t_h4s_quotes_index,t_h4s_canonicals_spolynom(X1)),h4s_canonicals_spvar),s(t_h4s_quotes_index,X4)))=s(t_h4s_canonicals_spolynom(X1),happ(s(t_fun(t_h4s_canonicals_spolynom(X1),t_h4s_canonicals_spolynom(X1)),happ(s(t_fun(t_h4s_canonicals_spolynom(X1),t_fun(t_h4s_canonicals_spolynom(X1),t_h4s_canonicals_spolynom(X1))),h4s_canonicals_spplus),s(t_h4s_canonicals_spolynom(X1),X3))),s(t_h4s_canonicals_spolynom(X1),X2)))),file('i/f/canonical/spolynom__distinct_c1', ch4s_canonicals_spolynomu_u_distinctu_c1)).
fof(27, axiom,![X1]:s(t_fun(t_h4s_canonicals_spolynom(X1),t_fun(t_h4s_canonicals_spolynom(X1),t_h4s_canonicals_spolynom(X1))),h4s_canonicals_spplus)=s(t_fun(t_h4s_canonicals_spolynom(X1),t_fun(t_h4s_canonicals_spolynom(X1),t_h4s_canonicals_spolynom(X1))),h4s_canonicals_u_20u_40indu_u_typecanonical7),file('i/f/canonical/spolynom__distinct_c1', ah4s_canonicals_SPplus0)).
fof(29, axiom,![X17]:![X1]:![X30]:![X31]:![X32]:![X7]:![X2]:![X3]:s(X17,h4s_canonicals_spolynomu_u_case(s(t_h4s_canonicals_spolynom(X1),happ(s(t_fun(t_h4s_canonicals_spolynom(X1),t_h4s_canonicals_spolynom(X1)),happ(s(t_fun(t_h4s_canonicals_spolynom(X1),t_fun(t_h4s_canonicals_spolynom(X1),t_h4s_canonicals_spolynom(X1))),h4s_canonicals_spplus),s(t_h4s_canonicals_spolynom(X1),X3))),s(t_h4s_canonicals_spolynom(X1),X2))),s(t_fun(t_h4s_quotes_index,X17),X7),s(t_fun(X1,X17),X32),s(t_fun(t_h4s_canonicals_spolynom(X1),t_fun(t_h4s_canonicals_spolynom(X1),X17)),X31),s(t_fun(t_h4s_canonicals_spolynom(X1),t_fun(t_h4s_canonicals_spolynom(X1),X17)),X30)))=s(X17,happ(s(t_fun(t_h4s_canonicals_spolynom(X1),X17),happ(s(t_fun(t_h4s_canonicals_spolynom(X1),t_fun(t_h4s_canonicals_spolynom(X1),X17)),X31),s(t_h4s_canonicals_spolynom(X1),X3))),s(t_h4s_canonicals_spolynom(X1),X2))),file('i/f/canonical/spolynom__distinct_c1', ah4s_canonicals_spolynomu_u_caseu_u_defu_c2)).
fof(30, axiom,![X28]:![X4]:~(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,X4)))=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,X28)))),file('i/f/canonical/spolynom__distinct_c1', ah4s_quotes_indexu_u_distinctu_c0)).
fof(32, axiom,![X1]:s(t_fun(t_h4s_quotes_index,t_h4s_canonicals_spolynom(X1)),h4s_canonicals_spvar)=s(t_fun(t_h4s_quotes_index,t_h4s_canonicals_spolynom(X1)),h4s_canonicals_u_20u_40indu_u_typecanonical5),file('i/f/canonical/spolynom__distinct_c1', ah4s_canonicals_SPvar0)).
fof(33, axiom,![X1]:![X17]:![X30]:![X31]:![X32]:![X7]:![X4]:s(X17,h4s_canonicals_spolynomu_u_case(s(t_h4s_canonicals_spolynom(X1),happ(s(t_fun(t_h4s_quotes_index,t_h4s_canonicals_spolynom(X1)),h4s_canonicals_spvar),s(t_h4s_quotes_index,X4))),s(t_fun(t_h4s_quotes_index,X17),X7),s(t_fun(X1,X17),X32),s(t_fun(t_h4s_canonicals_spolynom(X1),t_fun(t_h4s_canonicals_spolynom(X1),X17)),X31),s(t_fun(t_h4s_canonicals_spolynom(X1),t_fun(t_h4s_canonicals_spolynom(X1),X17)),X30)))=s(X17,happ(s(t_fun(t_h4s_quotes_index,X17),X7),s(t_h4s_quotes_index,X4))),file('i/f/canonical/spolynom__distinct_c1', ah4s_canonicals_spolynomu_u_caseu_u_defu_c0)).
# SZS output end CNFRefutation
