# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:((p(s(t_bool,h4s_relations_irreflexive(s(t_fun(X1,t_fun(X1,t_bool)),X2))))&p(s(t_bool,h4s_relations_transitive(s(t_fun(X1,t_fun(X1,t_bool)),X2)))))=>p(s(t_bool,h4s_relations_antisymmetric(s(t_fun(X1,t_fun(X1,t_bool)),X2))))),file('i/f/relation/irrefl__trans__implies__antisym', ch4s_relations_irreflu_u_transu_u_impliesu_u_antisym)).
fof(6, axiom,![X11]:![X12]:![X13]:((p(s(t_bool,X13))<=>s(t_bool,X12)=s(t_bool,X11))<=>((p(s(t_bool,X13))|(p(s(t_bool,X12))|p(s(t_bool,X11))))&((p(s(t_bool,X13))|(~(p(s(t_bool,X11)))|~(p(s(t_bool,X12)))))&((p(s(t_bool,X12))|(~(p(s(t_bool,X11)))|~(p(s(t_bool,X13)))))&(p(s(t_bool,X11))|(~(p(s(t_bool,X12)))|~(p(s(t_bool,X13))))))))),file('i/f/relation/irrefl__trans__implies__antisym', ah4s_sats_dcu_u_eq)).
fof(14, axiom,![X1]:![X2]:(p(s(t_bool,h4s_relations_antisymmetric(s(t_fun(X1,t_fun(X1,t_bool)),X2))))<=>![X10]:![X8]:((p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X2),s(X1,X10))),s(X1,X8))))&p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X2),s(X1,X8))),s(X1,X10)))))=>s(X1,X10)=s(X1,X8))),file('i/f/relation/irrefl__trans__implies__antisym', ah4s_relations_antisymmetricu_u_def)).
fof(16, axiom,![X1]:![X2]:(p(s(t_bool,h4s_relations_transitive(s(t_fun(X1,t_fun(X1,t_bool)),X2))))<=>![X10]:![X8]:![X18]:((p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X2),s(X1,X10))),s(X1,X8))))&p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X2),s(X1,X8))),s(X1,X18)))))=>p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X2),s(X1,X10))),s(X1,X18)))))),file('i/f/relation/irrefl__trans__implies__antisym', ah4s_relations_transitiveu_u_def)).
fof(17, axiom,![X1]:![X2]:(p(s(t_bool,h4s_relations_irreflexive(s(t_fun(X1,t_fun(X1,t_bool)),X2))))<=>![X10]:~(p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X2),s(X1,X10))),s(X1,X10)))))),file('i/f/relation/irrefl__trans__implies__antisym', ah4s_relations_irreflexiveu_u_def)).
# SZS output end CNFRefutation
