# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:s(t_fun(X1,t_fun(X1,t_bool)),h4s_tcs_u_5eu_7c(s(t_fun(X1,t_fun(X1,t_bool)),X2),s(t_fun(X1,t_bool),h4s_predu_u_sets_empty)))=s(t_fun(X1,t_fun(X1,t_bool)),h4s_relations_emptyu_u_rel),file('i/f/tc/DRESTR__EMPTY', ch4s_tcs_DRESTRu_u_EMPTY)).
fof(5, axiom,![X4]:![X5]:![X6]:![X7]:(![X8]:s(X5,happ(s(t_fun(X4,X5),X6),s(X4,X8)))=s(X5,happ(s(t_fun(X4,X5),X7),s(X4,X8)))=>s(t_fun(X4,X5),X6)=s(t_fun(X4,X5),X7)),file('i/f/tc/DRESTR__EMPTY', aHLu_EXT)).
fof(11, axiom,![X3]:(s(t_bool,X3)=s(t_bool,f)<=>~(p(s(t_bool,X3)))),file('i/f/tc/DRESTR__EMPTY', ah4s_bools_EQu_u_CLAUSESu_c3)).
fof(12, axiom,![X1]:![X12]:![X8]:s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),h4s_relations_emptyu_u_rel),s(X1,X8))),s(X1,X12)))=s(t_bool,f),file('i/f/tc/DRESTR__EMPTY', ah4s_relations_EMPTYu_u_RELu_u_DEF)).
fof(13, axiom,![X1]:![X8]:![X13]:s(t_bool,h4s_bools_in(s(X1,X8),s(t_fun(X1,t_bool),X13)))=s(t_bool,happ(s(t_fun(X1,t_bool),X13),s(X1,X8))),file('i/f/tc/DRESTR__EMPTY', ah4s_predu_u_sets_SPECIFICATION)).
fof(14, axiom,![X1]:![X8]:~(p(s(t_bool,h4s_bools_in(s(X1,X8),s(t_fun(X1,t_bool),h4s_predu_u_sets_empty))))),file('i/f/tc/DRESTR__EMPTY', ah4s_predu_u_sets_NOTu_u_INu_u_EMPTY)).
fof(15, axiom,![X1]:![X14]:![X15]:![X2]:s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),h4s_tcs_u_5eu_7c(s(t_fun(X1,t_fun(X1,t_bool)),X2),s(t_fun(X1,t_bool),X14))),s(X1,X15)))=s(t_fun(X1,t_bool),h4s_bools_cond(s(t_bool,h4s_bools_in(s(X1,X15),s(t_fun(X1,t_bool),X14))),s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X2),s(X1,X15))),s(t_fun(X1,t_bool),h4s_predu_u_sets_empty))),file('i/f/tc/DRESTR__EMPTY', ah4s_tcs_DRESTRu_u_IN)).
fof(16, axiom,![X1]:![X10]:![X11]:s(X1,h4s_bools_cond(s(t_bool,f),s(X1,X11),s(X1,X10)))=s(X1,X10),file('i/f/tc/DRESTR__EMPTY', ah4s_bools_CONDu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
