# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:s(t_bool,h4s_relations_irreflexive(s(t_fun(X1,t_fun(X1,t_bool)),h4s_relations_inv(s(t_fun(X1,t_fun(X1,t_bool)),X2)))))=s(t_bool,h4s_relations_irreflexive(s(t_fun(X1,t_fun(X1,t_bool)),X2))),file('i/f/relation/irreflexive__inv', ch4s_relations_irreflexiveu_u_inv)).
fof(9, axiom,![X13]:![X14]:((p(s(t_bool,X14))=>p(s(t_bool,X13)))=>((p(s(t_bool,X13))=>p(s(t_bool,X14)))=>s(t_bool,X14)=s(t_bool,X13))),file('i/f/relation/irreflexive__inv', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(42, axiom,![X1]:![X2]:(p(s(t_bool,h4s_relations_irreflexive(s(t_fun(X1,t_fun(X1,t_bool)),X2))))<=>![X7]:~(p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X2),s(X1,X7))),s(X1,X7)))))),file('i/f/relation/irreflexive__inv', ah4s_relations_irreflexiveu_u_def)).
fof(54, axiom,![X1]:![X2]:s(t_fun(X1,t_fun(X1,t_bool)),h4s_relations_inv(s(t_fun(X1,t_fun(X1,t_bool)),h4s_relations_inv(s(t_fun(X1,t_fun(X1,t_bool)),X2)))))=s(t_fun(X1,t_fun(X1,t_bool)),X2),file('i/f/relation/irreflexive__inv', ah4s_relations_invu_u_inv)).
fof(55, axiom,![X1]:![X9]:![X7]:![X2]:s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),h4s_relations_inv(s(t_fun(X1,t_fun(X1,t_bool)),X2))),s(X1,X7))),s(X1,X9)))=s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X2),s(X1,X9))),s(X1,X7))),file('i/f/relation/irreflexive__inv', ah4s_relations_invu_u_DEF)).
# SZS output end CNFRefutation
