# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:~(s(t_h4s_quotes_varmap(X1),h4s_quotes_emptyu_u_vm)=s(t_h4s_quotes_varmap(X1),happ(s(t_fun(t_h4s_quotes_varmap(X1),t_h4s_quotes_varmap(X1)),happ(s(t_fun(t_h4s_quotes_varmap(X1),t_fun(t_h4s_quotes_varmap(X1),t_h4s_quotes_varmap(X1))),happ(s(t_fun(X1,t_fun(t_h4s_quotes_varmap(X1),t_fun(t_h4s_quotes_varmap(X1),t_h4s_quotes_varmap(X1)))),h4s_quotes_nodeu_u_vm),s(X1,X4))),s(t_h4s_quotes_varmap(X1),X3))),s(t_h4s_quotes_varmap(X1),X2)))),file('i/f/quote/varmap__distinct', ch4s_quotes_varmapu_u_distinct)).
fof(34, axiom,![X21]:![X19]:![X20]:((p(s(t_bool,X20))<=>s(t_bool,X19)=s(t_bool,X21))<=>((p(s(t_bool,X20))|(p(s(t_bool,X19))|p(s(t_bool,X21))))&((p(s(t_bool,X20))|(~(p(s(t_bool,X21)))|~(p(s(t_bool,X19)))))&((p(s(t_bool,X19))|(~(p(s(t_bool,X21)))|~(p(s(t_bool,X20)))))&(p(s(t_bool,X21))|(~(p(s(t_bool,X19)))|~(p(s(t_bool,X20))))))))),file('i/f/quote/varmap__distinct', ah4s_sats_dcu_u_eq)).
fof(45, axiom,![X1]:s(t_fun(X1,t_fun(t_h4s_quotes_varmap(X1),t_fun(t_h4s_quotes_varmap(X1),t_h4s_quotes_varmap(X1)))),h4s_quotes_nodeu_u_vm)=s(t_fun(X1,t_fun(t_h4s_quotes_varmap(X1),t_fun(t_h4s_quotes_varmap(X1),t_h4s_quotes_varmap(X1)))),h4s_quotes_u_20u_40indu_u_typequote6),file('i/f/quote/varmap__distinct', ah4s_quotes_Nodeu_u_vm0)).
fof(46, axiom,![X12]:![X1]:![X34]:![X7]:![X2]:![X3]:![X4]:s(X12,h4s_quotes_varmapu_u_case(s(t_h4s_quotes_varmap(X1),happ(s(t_fun(t_h4s_quotes_varmap(X1),t_h4s_quotes_varmap(X1)),happ(s(t_fun(t_h4s_quotes_varmap(X1),t_fun(t_h4s_quotes_varmap(X1),t_h4s_quotes_varmap(X1))),happ(s(t_fun(X1,t_fun(t_h4s_quotes_varmap(X1),t_fun(t_h4s_quotes_varmap(X1),t_h4s_quotes_varmap(X1)))),h4s_quotes_nodeu_u_vm),s(X1,X4))),s(t_h4s_quotes_varmap(X1),X3))),s(t_h4s_quotes_varmap(X1),X2))),s(X12,X34),s(t_fun(X1,t_fun(t_h4s_quotes_varmap(X1),t_fun(t_h4s_quotes_varmap(X1),X12))),X7)))=s(X12,happ(s(t_fun(t_h4s_quotes_varmap(X1),X12),happ(s(t_fun(t_h4s_quotes_varmap(X1),t_fun(t_h4s_quotes_varmap(X1),X12)),happ(s(t_fun(X1,t_fun(t_h4s_quotes_varmap(X1),t_fun(t_h4s_quotes_varmap(X1),X12))),X7),s(X1,X4))),s(t_h4s_quotes_varmap(X1),X3))),s(t_h4s_quotes_varmap(X1),X2))),file('i/f/quote/varmap__distinct', ah4s_quotes_varmapu_u_caseu_u_defu_c1)).
fof(47, axiom,![X1]:s(t_h4s_quotes_varmap(X1),h4s_quotes_emptyu_u_vm)=s(t_h4s_quotes_varmap(X1),h4s_quotes_u_20u_40indu_u_typequote5),file('i/f/quote/varmap__distinct', ah4s_quotes_Emptyu_u_vm0)).
fof(48, axiom,![X1]:![X12]:![X34]:![X7]:s(X12,h4s_quotes_varmapu_u_case(s(t_h4s_quotes_varmap(X1),h4s_quotes_emptyu_u_vm),s(X12,X34),s(t_fun(X1,t_fun(t_h4s_quotes_varmap(X1),t_fun(t_h4s_quotes_varmap(X1),X12))),X7)))=s(X12,X34),file('i/f/quote/varmap__distinct', ah4s_quotes_varmapu_u_caseu_u_defu_c0)).
fof(50, axiom,p(s(t_bool,t)),file('i/f/quote/varmap__distinct', aHLu_TRUTH)).
fof(51, axiom,~(p(s(t_bool,f))),file('i/f/quote/varmap__distinct', aHLu_FALSITY)).
fof(52, axiom,![X13]:(s(t_bool,X13)=s(t_bool,t)|s(t_bool,X13)=s(t_bool,f)),file('i/f/quote/varmap__distinct', aHLu_BOOLu_CASES)).
fof(61, axiom,![X13]:(s(t_bool,f)=s(t_bool,X13)<=>~(p(s(t_bool,X13)))),file('i/f/quote/varmap__distinct', ah4s_bools_EQu_u_CLAUSESu_c2)).
fof(76, axiom,(p(s(t_bool,f))<=>![X13]:p(s(t_bool,X13))),file('i/f/quote/varmap__distinct', ah4s_bools_Fu_u_DEF)).
# SZS output end CNFRefutation
