# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(6, axiom,![X7]:s(t_fun(t_h4s_canonicals_spolynom(X7),t_fun(t_h4s_canonicals_spolynom(X7),t_h4s_canonicals_spolynom(X7))),h4s_canonicals_spmult)=s(t_fun(t_h4s_canonicals_spolynom(X7),t_fun(t_h4s_canonicals_spolynom(X7),t_h4s_canonicals_spolynom(X7))),h4s_canonicals_u_20u_40indu_u_typecanonical8),file('i/f/canonical/spolynom__distinct_c5', ah4s_canonicals_SPmult0)).
fof(7, axiom,![X7]:s(t_fun(t_h4s_canonicals_spolynom(X7),t_fun(t_h4s_canonicals_spolynom(X7),t_h4s_canonicals_spolynom(X7))),h4s_canonicals_spplus)=s(t_fun(t_h4s_canonicals_spolynom(X7),t_fun(t_h4s_canonicals_spolynom(X7),t_h4s_canonicals_spolynom(X7))),h4s_canonicals_u_20u_40indu_u_typecanonical7),file('i/f/canonical/spolynom__distinct_c5', ah4s_canonicals_SPplus0)).
fof(14, axiom,![X7]:![X12]:![X13]:![X8]:~(s(t_h4s_canonicals_spolynom(X7),happ(s(t_fun(X7,t_h4s_canonicals_spolynom(X7)),h4s_canonicals_spconst),s(X7,X8)))=s(t_h4s_canonicals_spolynom(X7),happ(s(t_fun(t_h4s_canonicals_spolynom(X7),t_h4s_canonicals_spolynom(X7)),happ(s(t_fun(t_h4s_canonicals_spolynom(X7),t_fun(t_h4s_canonicals_spolynom(X7),t_h4s_canonicals_spolynom(X7))),h4s_canonicals_spplus),s(t_h4s_canonicals_spolynom(X7),X13))),s(t_h4s_canonicals_spolynom(X7),X12)))),file('i/f/canonical/spolynom__distinct_c5', ah4s_canonicals_spolynomu_u_distinctu_c3)).
fof(19, axiom,![X7]:![X14]:![X12]:![X15]:![X13]:(s(t_h4s_canonicals_spolynom(X7),happ(s(t_fun(t_h4s_canonicals_spolynom(X7),t_h4s_canonicals_spolynom(X7)),happ(s(t_fun(t_h4s_canonicals_spolynom(X7),t_fun(t_h4s_canonicals_spolynom(X7),t_h4s_canonicals_spolynom(X7))),h4s_canonicals_spplus),s(t_h4s_canonicals_spolynom(X7),X13))),s(t_h4s_canonicals_spolynom(X7),X12)))=s(t_h4s_canonicals_spolynom(X7),happ(s(t_fun(t_h4s_canonicals_spolynom(X7),t_h4s_canonicals_spolynom(X7)),happ(s(t_fun(t_h4s_canonicals_spolynom(X7),t_fun(t_h4s_canonicals_spolynom(X7),t_h4s_canonicals_spolynom(X7))),h4s_canonicals_spplus),s(t_h4s_canonicals_spolynom(X7),X15))),s(t_h4s_canonicals_spolynom(X7),X14)))<=>(s(t_h4s_canonicals_spolynom(X7),X13)=s(t_h4s_canonicals_spolynom(X7),X15)&s(t_h4s_canonicals_spolynom(X7),X12)=s(t_h4s_canonicals_spolynom(X7),X14))),file('i/f/canonical/spolynom__distinct_c5', ah4s_canonicals_spolynomu_u_11u_c2)).
fof(21, axiom,![X7]:s(t_fun(X7,t_h4s_canonicals_spolynom(X7)),h4s_canonicals_spconst)=s(t_fun(X7,t_h4s_canonicals_spolynom(X7)),h4s_canonicals_u_20u_40indu_u_typecanonical6),file('i/f/canonical/spolynom__distinct_c5', ah4s_canonicals_SPconst0)).
fof(32, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)<=>p(s(t_bool,X1))),file('i/f/canonical/spolynom__distinct_c5', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(53, axiom,![X22]:![X7]:![X34]:![X35]:![X36]:![X4]:![X12]:![X13]:s(X22,h4s_canonicals_spolynomu_u_case(s(t_h4s_canonicals_spolynom(X7),happ(s(t_fun(t_h4s_canonicals_spolynom(X7),t_h4s_canonicals_spolynom(X7)),happ(s(t_fun(t_h4s_canonicals_spolynom(X7),t_fun(t_h4s_canonicals_spolynom(X7),t_h4s_canonicals_spolynom(X7))),h4s_canonicals_spmult),s(t_h4s_canonicals_spolynom(X7),X13))),s(t_h4s_canonicals_spolynom(X7),X12))),s(t_fun(t_h4s_quotes_index,X22),X4),s(t_fun(X7,X22),X36),s(t_fun(t_h4s_canonicals_spolynom(X7),t_fun(t_h4s_canonicals_spolynom(X7),X22)),X35),s(t_fun(t_h4s_canonicals_spolynom(X7),t_fun(t_h4s_canonicals_spolynom(X7),X22)),X34)))=s(X22,happ(s(t_fun(t_h4s_canonicals_spolynom(X7),X22),happ(s(t_fun(t_h4s_canonicals_spolynom(X7),t_fun(t_h4s_canonicals_spolynom(X7),X22)),X34),s(t_h4s_canonicals_spolynom(X7),X13))),s(t_h4s_canonicals_spolynom(X7),X12))),file('i/f/canonical/spolynom__distinct_c5', ah4s_canonicals_spolynomu_u_caseu_u_defu_c3)).
fof(54, axiom,![X22]:![X7]:![X34]:![X35]:![X36]:![X4]:![X12]:![X13]:s(X22,h4s_canonicals_spolynomu_u_case(s(t_h4s_canonicals_spolynom(X7),happ(s(t_fun(t_h4s_canonicals_spolynom(X7),t_h4s_canonicals_spolynom(X7)),happ(s(t_fun(t_h4s_canonicals_spolynom(X7),t_fun(t_h4s_canonicals_spolynom(X7),t_h4s_canonicals_spolynom(X7))),h4s_canonicals_spplus),s(t_h4s_canonicals_spolynom(X7),X13))),s(t_h4s_canonicals_spolynom(X7),X12))),s(t_fun(t_h4s_quotes_index,X22),X4),s(t_fun(X7,X22),X36),s(t_fun(t_h4s_canonicals_spolynom(X7),t_fun(t_h4s_canonicals_spolynom(X7),X22)),X35),s(t_fun(t_h4s_canonicals_spolynom(X7),t_fun(t_h4s_canonicals_spolynom(X7),X22)),X34)))=s(X22,happ(s(t_fun(t_h4s_canonicals_spolynom(X7),X22),happ(s(t_fun(t_h4s_canonicals_spolynom(X7),t_fun(t_h4s_canonicals_spolynom(X7),X22)),X35),s(t_h4s_canonicals_spolynom(X7),X13))),s(t_h4s_canonicals_spolynom(X7),X12))),file('i/f/canonical/spolynom__distinct_c5', ah4s_canonicals_spolynomu_u_caseu_u_defu_c2)).
fof(79, axiom,![X7]:![X20]:![X21]:s(X7,h4s_bools_cond(s(t_bool,t),s(X7,X21),s(X7,X20)))=s(X7,X21),file('i/f/canonical/spolynom__distinct_c5', ah4s_bools_CONDu_u_CLAUSESu_c0)).
fof(85, axiom,![X22]:![X7]:![X45]:![X8]:![X6]:![X39]:?[X48]:((p(s(t_bool,X48))<=>s(X7,X8)=s(X7,X39))&s(X22,happ(s(t_fun(X7,X22),h4s_combins_update(s(X7,X8),s(X22,X45),s(t_fun(X7,X22),X6))),s(X7,X39)))=s(X22,h4s_bools_cond(s(t_bool,X48),s(X22,X45),s(X22,happ(s(t_fun(X7,X22),X6),s(X7,X39)))))),file('i/f/canonical/spolynom__distinct_c5', ah4s_combins_UPDATEu_u_def)).
fof(133, conjecture,![X7]:![X14]:![X12]:![X15]:![X13]:~(s(t_h4s_canonicals_spolynom(X7),happ(s(t_fun(t_h4s_canonicals_spolynom(X7),t_h4s_canonicals_spolynom(X7)),happ(s(t_fun(t_h4s_canonicals_spolynom(X7),t_fun(t_h4s_canonicals_spolynom(X7),t_h4s_canonicals_spolynom(X7))),h4s_canonicals_spplus),s(t_h4s_canonicals_spolynom(X7),X13))),s(t_h4s_canonicals_spolynom(X7),X12)))=s(t_h4s_canonicals_spolynom(X7),happ(s(t_fun(t_h4s_canonicals_spolynom(X7),t_h4s_canonicals_spolynom(X7)),happ(s(t_fun(t_h4s_canonicals_spolynom(X7),t_fun(t_h4s_canonicals_spolynom(X7),t_h4s_canonicals_spolynom(X7))),h4s_canonicals_spmult),s(t_h4s_canonicals_spolynom(X7),X15))),s(t_h4s_canonicals_spolynom(X7),X14)))),file('i/f/canonical/spolynom__distinct_c5', ch4s_canonicals_spolynomu_u_distinctu_c5)).
# SZS output end CNFRefutation
