# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, axiom,p(s(t_bool,t)),file('i/f/relation/IN__RDOM__DELETE', aHLu_TRUTH)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/relation/IN__RDOM__DELETE', aHLu_FALSITY)).
fof(5, axiom,![X7]:![X6]:![X8]:s(t_bool,h4s_bools_in(s(X7,X6),s(t_fun(X7,t_bool),X8)))=s(t_bool,happ(s(t_fun(X7,t_bool),X8),s(X7,X6))),file('i/f/relation/IN__RDOM__DELETE', ah4s_bools_INu_u_DEF)).
fof(7, axiom,![X9]:![X10]:((p(s(t_bool,X10))=>p(s(t_bool,X9)))=>((p(s(t_bool,X9))=>p(s(t_bool,X10)))=>s(t_bool,X10)=s(t_bool,X9))),file('i/f/relation/IN__RDOM__DELETE', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(12, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)<=>p(s(t_bool,X1))),file('i/f/relation/IN__RDOM__DELETE', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(24, axiom,![X7]:![X16]:![X6]:![X17]:(p(s(t_bool,happ(s(t_fun(X7,t_bool),h4s_relations_rdom(s(t_fun(X7,t_fun(X16,t_bool)),X17))),s(X7,X6))))<=>?[X18]:p(s(t_bool,happ(s(t_fun(X16,t_bool),happ(s(t_fun(X7,t_fun(X16,t_bool)),X17),s(X7,X6))),s(X16,X18))))),file('i/f/relation/IN__RDOM__DELETE', ah4s_relations_RDOMu_u_DEF)).
fof(25, axiom,![X16]:![X7]:![X6]:![X19]:![X20]:![X17]:(p(s(t_bool,happ(s(t_fun(X16,t_bool),happ(s(t_fun(X7,t_fun(X16,t_bool)),h4s_relations_rdomu_u_delete(s(t_fun(X7,t_fun(X16,t_bool)),X17),s(X7,X6))),s(X7,X20))),s(X16,X19))))<=>(p(s(t_bool,happ(s(t_fun(X16,t_bool),happ(s(t_fun(X7,t_fun(X16,t_bool)),X17),s(X7,X20))),s(X16,X19))))&~(s(X7,X20)=s(X7,X6)))),file('i/f/relation/IN__RDOM__DELETE', ah4s_relations_RDOMu_u_DELETEu_u_DEF)).
fof(26, conjecture,![X16]:![X7]:![X6]:![X21]:![X17]:(p(s(t_bool,h4s_bools_in(s(X7,X6),s(t_fun(X7,t_bool),h4s_relations_rdom(s(t_fun(X7,t_fun(X16,t_bool)),h4s_relations_rdomu_u_delete(s(t_fun(X7,t_fun(X16,t_bool)),X17),s(X7,X21))))))))<=>(p(s(t_bool,h4s_bools_in(s(X7,X6),s(t_fun(X7,t_bool),h4s_relations_rdom(s(t_fun(X7,t_fun(X16,t_bool)),X17))))))&~(s(X7,X6)=s(X7,X21)))),file('i/f/relation/IN__RDOM__DELETE', ch4s_relations_INu_u_RDOMu_u_DELETE)).
# SZS output end CNFRefutation
