# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:((p(s(t_bool,h4s_relations_irreflexive(s(t_fun(X1,t_fun(X1,t_bool)),X2))))&p(s(t_bool,h4s_relations_rsubset(s(t_fun(X1,t_fun(X1,t_bool)),X3),s(t_fun(X1,t_fun(X1,t_bool)),X2)))))=>p(s(t_bool,h4s_relations_irreflexive(s(t_fun(X1,t_fun(X1,t_bool)),X3))))),file('i/f/relation/irreflexive__RSUBSET', ch4s_relations_irreflexiveu_u_RSUBSET)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/relation/irreflexive__RSUBSET', aHLu_FALSITY)).
fof(21, axiom,![X1]:![X17]:(p(s(t_bool,h4s_relations_irreflexive(s(t_fun(X1,t_fun(X1,t_bool)),X17))))<=>![X13]:~(p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X17),s(X1,X13))),s(X1,X13)))))),file('i/f/relation/irreflexive__RSUBSET', ah4s_relations_irreflexiveu_u_def)).
fof(23, axiom,![X1]:![X22]:![X2]:![X3]:(p(s(t_bool,h4s_relations_rsubset(s(t_fun(X1,t_fun(X22,t_bool)),X3),s(t_fun(X1,t_fun(X22,t_bool)),X2))))<=>![X13]:![X11]:(p(s(t_bool,happ(s(t_fun(X22,t_bool),happ(s(t_fun(X1,t_fun(X22,t_bool)),X3),s(X1,X13))),s(X22,X11))))=>p(s(t_bool,happ(s(t_fun(X22,t_bool),happ(s(t_fun(X1,t_fun(X22,t_bool)),X2),s(X1,X13))),s(X22,X11)))))),file('i/f/relation/irreflexive__RSUBSET', ah4s_relations_RSUBSET0)).
fof(24, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)|s(t_bool,X6)=s(t_bool,f)),file('i/f/relation/irreflexive__RSUBSET', aHLu_BOOLu_CASES)).
fof(25, axiom,p(s(t_bool,t)),file('i/f/relation/irreflexive__RSUBSET', aHLu_TRUTH)).
fof(27, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)<=>p(s(t_bool,X6))),file('i/f/relation/irreflexive__RSUBSET', ah4s_bools_EQu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
