# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X3),s(X1,X2)))=s(t_fun(X1,t_bool),h4s_predu_u_sets_empty)<=>~(p(s(t_bool,h4s_bools_in(s(X1,X2),s(t_fun(X1,t_bool),h4s_relations_rdom(s(t_fun(X1,t_fun(X1,t_bool)),X3)))))))),file('i/f/tc/NOT__IN__RDOM', ch4s_tcs_NOTu_u_INu_u_RDOM)).
fof(2, axiom,![X4]:![X5]:((p(s(t_bool,X5))=>p(s(t_bool,X4)))=>((p(s(t_bool,X4))=>p(s(t_bool,X5)))=>s(t_bool,X5)=s(t_bool,X4))),file('i/f/tc/NOT__IN__RDOM', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(28, axiom,![X1]:![X2]:![X15]:s(t_bool,h4s_bools_in(s(X1,X2),s(t_fun(X1,t_bool),X15)))=s(t_bool,happ(s(t_fun(X1,t_bool),X15),s(X1,X2))),file('i/f/tc/NOT__IN__RDOM', ah4s_predu_u_sets_SPECIFICATION)).
fof(30, axiom,![X1]:![X6]:![X20]:(s(t_fun(X1,t_bool),X20)=s(t_fun(X1,t_bool),X6)<=>![X2]:s(t_bool,h4s_bools_in(s(X1,X2),s(t_fun(X1,t_bool),X20)))=s(t_bool,h4s_bools_in(s(X1,X2),s(t_fun(X1,t_bool),X6)))),file('i/f/tc/NOT__IN__RDOM', ah4s_predu_u_sets_EXTENSION)).
fof(32, axiom,![X1]:![X21]:![X2]:![X14]:(p(s(t_bool,h4s_bools_in(s(X1,X2),s(t_fun(X1,t_bool),h4s_relations_rdom(s(t_fun(X1,t_fun(X21,t_bool)),X14))))))<=>?[X17]:p(s(t_bool,happ(s(t_fun(X21,t_bool),happ(s(t_fun(X1,t_fun(X21,t_bool)),X14),s(X1,X2))),s(X21,X17))))),file('i/f/tc/NOT__IN__RDOM', ah4s_relations_INu_u_RDOM)).
fof(33, axiom,![X1]:![X2]:~(p(s(t_bool,h4s_bools_in(s(X1,X2),s(t_fun(X1,t_bool),h4s_predu_u_sets_empty))))),file('i/f/tc/NOT__IN__RDOM', ah4s_predu_u_sets_NOTu_u_INu_u_EMPTY)).
# SZS output end CNFRefutation
