# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:(p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X4),s(X1,X3))),s(X1,X2))))=>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)),X4))),s(X1,X3))),s(X1,X2))))),file('i/f/relation/EQC__R', ch4s_relations_EQCu_u_R)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/relation/EQC__R', aHLu_TRUTH)).
fof(5, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)<=>p(s(t_bool,X5))),file('i/f/relation/EQC__R', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(10, axiom,![X1]:![X2]:![X3]:![X4]:(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)),X4))),s(X1,X3))),s(X1,X2))))<=>(s(X1,X3)=s(X1,X2)|p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X4),s(X1,X3))),s(X1,X2)))))),file('i/f/relation/EQC__R', ah4s_relations_RCu_u_DEF)).
fof(11, axiom,![X1]:![X2]:![X3]:![X4]:(p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),h4s_relations_sc(s(t_fun(X1,t_fun(X1,t_bool)),X4))),s(X1,X3))),s(X1,X2))))<=>(p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X4),s(X1,X3))),s(X1,X2))))|p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X4),s(X1,X2))),s(X1,X3)))))),file('i/f/relation/EQC__R', ah4s_relations_SCu_u_DEF)).
fof(12, axiom,![X1]:![X2]:![X3]:![X4]:(p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X4),s(X1,X3))),s(X1,X2))))=>p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),h4s_relations_tc(s(t_fun(X1,t_fun(X1,t_bool)),X4))),s(X1,X3))),s(X1,X2))))),file('i/f/relation/EQC__R', ah4s_relations_TCu_u_SUBSET)).
fof(13, axiom,![X1]:![X4]:s(t_fun(X1,t_fun(X1,t_bool)),h4s_relations_eqc(s(t_fun(X1,t_fun(X1,t_bool)),X4)))=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)),X4))))))),file('i/f/relation/EQC__R', ah4s_relations_EQCu_u_DEF)).
fof(14, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)|s(t_bool,X5)=s(t_bool,f)),file('i/f/relation/EQC__R', aHLu_BOOLu_CASES)).
fof(15, axiom,~(p(s(t_bool,f))),file('i/f/relation/EQC__R', aHLu_FALSITY)).
# SZS output end CNFRefutation
