# 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_spmult),s(t_h4s_canonicals_spolynom(X1),X3))),s(t_h4s_canonicals_spolynom(X1),X2)))),file('i/f/canonical/spolynom__distinct_c2', ch4s_canonicals_spolynomu_u_distinctu_c2)).
fof(23, axiom,![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_c2', ah4s_canonicals_spolynomu_u_distinctu_c1)).
fof(29, axiom,![X1]:s(t_fun(t_h4s_canonicals_spolynom(X1),t_fun(t_h4s_canonicals_spolynom(X1),t_h4s_canonicals_spolynom(X1))),h4s_canonicals_spmult)=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_typecanonical8),file('i/f/canonical/spolynom__distinct_c2', ah4s_canonicals_SPmult0)).
fof(31, axiom,![X10]:![X1]:![X30]:![X31]:![X32]:![X7]:![X2]:![X3]:s(X10,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_spmult),s(t_h4s_canonicals_spolynom(X1),X3))),s(t_h4s_canonicals_spolynom(X1),X2))),s(t_fun(t_h4s_quotes_index,X10),X7),s(t_fun(X1,X10),X32),s(t_fun(t_h4s_canonicals_spolynom(X1),t_fun(t_h4s_canonicals_spolynom(X1),X10)),X31),s(t_fun(t_h4s_canonicals_spolynom(X1),t_fun(t_h4s_canonicals_spolynom(X1),X10)),X30)))=s(X10,happ(s(t_fun(t_h4s_canonicals_spolynom(X1),X10),happ(s(t_fun(t_h4s_canonicals_spolynom(X1),t_fun(t_h4s_canonicals_spolynom(X1),X10)),X30),s(t_h4s_canonicals_spolynom(X1),X3))),s(t_h4s_canonicals_spolynom(X1),X2))),file('i/f/canonical/spolynom__distinct_c2', ah4s_canonicals_spolynomu_u_caseu_u_defu_c3)).
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_c2', ah4s_canonicals_SPvar0)).
fof(34, axiom,![X1]:![X10]:![X30]:![X31]:![X32]:![X7]:![X4]:s(X10,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,X10),X7),s(t_fun(X1,X10),X32),s(t_fun(t_h4s_canonicals_spolynom(X1),t_fun(t_h4s_canonicals_spolynom(X1),X10)),X31),s(t_fun(t_h4s_canonicals_spolynom(X1),t_fun(t_h4s_canonicals_spolynom(X1),X10)),X30)))=s(X10,happ(s(t_fun(t_h4s_quotes_index,X10),X7),s(t_h4s_quotes_index,X4))),file('i/f/canonical/spolynom__distinct_c2', ah4s_canonicals_spolynomu_u_caseu_u_defu_c0)).
fof(55, 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_c2', ah4s_canonicals_SPplus0)).
# SZS output end CNFRefutation
