# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),h4s_relations_eqc(s(t_fun(X1,t_fun(X1,t_bool)),X3))),s(X1,X2))),s(X1,X2)))),file('i/f/relation/EQC__REFL', ch4s_relations_EQCu_u_REFL)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/relation/EQC__REFL', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/relation/EQC__REFL', aHLu_FALSITY)).
fof(7, axiom,![X1]:![X5]:![X2]:![X3]:(p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),h4s_relations_rc(s(t_fun(X1,t_fun(X1,t_bool)),X3))),s(X1,X2))),s(X1,X5))))<=>(s(X1,X2)=s(X1,X5)|p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X3),s(X1,X2))),s(X1,X5)))))),file('i/f/relation/EQC__REFL', ah4s_relations_RCu_u_DEF)).
fof(8, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)|s(t_bool,X4)=s(t_bool,f)),file('i/f/relation/EQC__REFL', aHLu_BOOLu_CASES)).
fof(10, axiom,![X1]:![X3]:s(t_fun(X1,t_fun(X1,t_bool)),h4s_relations_eqc(s(t_fun(X1,t_fun(X1,t_bool)),X3)))=s(t_fun(X1,t_fun(X1,t_bool)),h4s_relations_rc(s(t_fun(X1,t_fun(X1,t_bool)),h4s_relations_tc(s(t_fun(X1,t_fun(X1,t_bool)),h4s_relations_sc(s(t_fun(X1,t_fun(X1,t_bool)),X3))))))),file('i/f/relation/EQC__REFL', ah4s_relations_EQCu_u_DEF)).
# SZS output end CNFRefutation
