# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(p(s(t_bool,h4s_relations_equivalence(s(t_fun(X1,t_fun(X1,t_bool)),X2))))=>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/equivalence__inv__identity', ch4s_relations_equivalenceu_u_invu_u_identity)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/relation/equivalence__inv__identity', aHLu_TRUTH)).
fof(8, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t)<=>p(s(t_bool,X3))),file('i/f/relation/equivalence__inv__identity', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(12, axiom,![X1]:![X2]:(p(s(t_bool,h4s_relations_equivalence(s(t_fun(X1,t_fun(X1,t_bool)),X2))))<=>(p(s(t_bool,h4s_relations_reflexive(s(t_fun(X1,t_fun(X1,t_bool)),X2))))&(p(s(t_bool,h4s_relations_symmetric(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))))))),file('i/f/relation/equivalence__inv__identity', ah4s_relations_equivalenceu_u_def)).
fof(13, axiom,![X1]:![X2]:(p(s(t_bool,h4s_relations_symmetric(s(t_fun(X1,t_fun(X1,t_bool)),X2))))=>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/equivalence__inv__identity', ah4s_relations_symmetricu_u_invu_u_identity)).
# SZS output end CNFRefutation
