# 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(7, axiom,![X1]:![X8]:![X3]:(?[X4]:(s(X1,X4)=s(X1,X8)&p(s(t_bool,happ(s(t_fun(X1,t_bool),X3),s(X1,X4)))))<=>p(s(t_bool,happ(s(t_fun(X1,t_bool),X3),s(X1,X8))))),file('i/f/bool/RES__EXISTS__THM', ah4s_bools_UNWINDu_u_THM2)).
fof(43, axiom,![X7]:(s(t_bool,t)=s(t_bool,X7)<=>p(s(t_bool,X7))),file('i/f/bool/RES__EXISTS__THM', ah4s_bools_EQu_u_CLAUSESu_c0)).
fof(67, axiom,![X1]:![X4]:![X25]:(p(s(t_bool,h4s_bools_resu_u_exists(s(t_fun(X1,t_bool),X4),s(t_fun(X1,t_bool),X25))))<=>?[X26]:(p(s(t_bool,h4s_bools_in(s(X1,X26),s(t_fun(X1,t_bool),X4))))&p(s(t_bool,happ(s(t_fun(X1,t_bool),X25),s(X1,X26)))))),file('i/f/bool/RES__EXISTS__THM', ah4s_bools_RESu_u_EXISTSu_u_DEF)).
fof(73, axiom,![X1]:![X4]:![X26]:s(t_bool,h4s_bools_in(s(X1,X4),s(t_fun(X1,t_bool),X26)))=s(t_bool,happ(s(t_fun(X1,t_bool),X26),s(X1,X4))),file('i/f/bool/RES__EXISTS__THM', ah4s_bools_INu_u_DEF)).
# SZS output end CNFRefutation
