# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(p(s(t_bool,h4s_bools_resu_u_exists(s(t_fun(X1,t_bool),X3),s(t_fun(X1,t_bool),X2))))<=>?[X4]:(p(s(t_bool,h4s_bools_in(s(X1,X4),s(t_fun(X1,t_bool),X3))))&p(s(t_bool,happ(s(t_fun(X1,t_bool),X2),s(X1,X4)))))),file('i/f/bool/RES__EXISTS__THM', ch4s_bools_RESu_u_EXISTSu_u_THM)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/bool/RES__EXISTS__THM', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f0))),file('i/f/bool/RES__EXISTS__THM', aHLu_FALSITY)).
fof(4, axiom,![X1]:![X4]:![X5]:(p(s(t_bool,h4s_bools_resu_u_exists(s(t_fun(X1,t_bool),X4),s(t_fun(X1,t_bool),X5))))<=>?[X6]:(p(s(t_bool,h4s_bools_in(s(X1,X6),s(t_fun(X1,t_bool),X4))))&p(s(t_bool,happ(s(t_fun(X1,t_bool),X5),s(X1,X6)))))),file('i/f/bool/RES__EXISTS__THM', ah4s_bools_RESu_u_EXISTSu_u_DEF)).
fof(5, axiom,![X7]:(s(t_bool,X7)=s(t_bool,t)|s(t_bool,X7)=s(t_bool,f0)),file('i/f/bool/RES__EXISTS__THM', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
